Search a number
-
+
341333432035452 = 22351724118567743
BaseRepresentation
bin100110110011100001110000…
…1111101110110100001111100
31122202120011020202111102100000
41031213003201331312201330
5324214401332100113302
63205542225224434300
7131616345434035353
oct11547034175664174
91582504222442300
10341333432035452
119983977192684a
1232348857918990
131185c7b21c01bc
1460408aa65099a
15296dcec55e31c
hex13670e1f7687c

341333432035452 has 144 divisors (see below), whose sum is σ = 947797838088192. Its totient is φ = 107040570612480.

The previous prime is 341333432035439. The next prime is 341333432035493. The reversal of 341333432035452 is 254530234333143.

341333432035452 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 3 + 343 + 203 + 54 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 341333432035398 and 341333432035407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35555493 + ... + 44123235.

It is an arithmetic number, because the mean of its divisors is an integer number (6581929431168).

Almost surely, 2341333432035452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341333432035452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473898919044096).

341333432035452 is an abundant number, since it is smaller than the sum of its proper divisors (606464406052740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

341333432035452 is a wasteful number, since it uses less digits than its factorization.

341333432035452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570190 (or 8570176 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 45.

Adding to 341333432035452 its reverse (254530234333143), we get a palindrome (595863666368595).

The spelling of 341333432035452 in words is "three hundred forty-one trillion, three hundred thirty-three billion, four hundred thirty-two million, thirty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2411 2754 4131 4822 5508 7233 8262 9644 14466 16524 21699 28932 40987 43398 65097 81974 86796 122961 130194 163948 195291 245922 260388 368883 390582 491844 585873 737766 781164 1106649 1171746 1475532 2213298 2343492 3319947 4426596 6639894 8567743 9959841 13279788 17135486 19919682 25703229 34270972 39839364 51406458 77109687 102812916 145651631 154219374 231329061 291303262 308438748 436954893 462658122 582606524 693987183 873909786 925316244 1310864679 1387974366 1747819572 2081961549 2621729358 2775948732 3932594037 4163923098 5243458716 7865188074 8327846196 11797782111 15730376148 20656828373 23595564222 35393346333 41313656746 47191128444 61970485119 70786692666 82627313492 123940970238 141573385332 185911455357 247881940476 351166082341 371822910714 557734366071 702332164682 743645821428 1053498247023 1115468732142 1404664329364 1673203098213 2106996494046 2230937464284 3160494741069 3346406196426 4213992988092 5019609294639 6320989482138 6692812392852 9481484223207 10039218589278 12641978964276 18962968446414 20078437178556 28444452669621 37925936892828 56888905339242 85333358008863 113777810678484 170666716017726 341333432035452