Search a number
-
+
340433442344310 = 235723471499640731
BaseRepresentation
bin100110101100111110101011…
…0011001101000110101110110
31122122101010012221010002012020
41031121331112121220311312
5324110130142220004220
63204012544150134010
7131464335026631660
oct11531752631506566
91578333187102166
10340433442344310
1199522015138177
1232222347051306
13117c5974903413
14600d0d078d530
1529556c5dbc040
hex1359f56668d76

340433442344310 has 128 divisors (see below), whose sum is σ = 995089607000064. Its totient is φ = 72846548100480.

The previous prime is 340433442344293. The next prime is 340433442344327. The reversal of 340433442344310 is 13443244334043.

It is an interprime number because it is at equal distance from previous prime (340433442344293) and next prime (340433442344327).

It is a super-2 number, since 2×3404334423443102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 749593356 + ... + 750047375.

It is an arithmetic number, because the mean of its divisors is an integer number (7774137554688).

Almost surely, 2340433442344310 is an apocalyptic number.

340433442344310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340433442344310 is an abundant number, since it is smaller than the sum of its proper divisors (654656164655754).

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

340433442344310 is a wasteful number, since it uses less digits than its factorization.

340433442344310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499640818.

The product of its (nonzero) digits is 1990656, while the sum is 42.

Adding to 340433442344310 its reverse (13443244334043), we get a palindrome (353876686678353).

The spelling of 340433442344310 in words is "three hundred forty trillion, four hundred thirty-three billion, four hundred forty-two million, three hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 47 69 70 94 105 115 138 141 161 210 230 235 282 322 329 345 470 483 658 690 705 805 966 987 1081 1410 1610 1645 1974 2162 2415 3243 3290 4830 4935 5405 6486 7567 9870 10810 15134 16215 22701 32430 37835 45402 75670 113505 227010 1499640731 2999281462 4498922193 7498203655 8997844386 10497485117 14996407310 20994970234 22494610965 31492455351 34491736813 44989221930 52487425585 62984910702 68983473626 70483114357 103475210439 104974851170 140966228714 157462276755 172458684065 206950420878 211449343071 241442157691 314924553510 344917368130 352415571785 422898686142 482884315382 493381800499 517376052195 704831143570 724326473073 986763600998 1034752104390 1057246715355 1207210788455 1448652946146 1480145401497 1621111630211 2114493430710 2414421576910 2466909002495 2960290802994 3242223260422 3621632365365 4863334890633 4933818004990 7243264730730 7400727007485 8105558151055 9726669781266 11347781411477 14801454014970 16211116302110 22695562822954 24316674453165 34043344234431 48633348906330 56738907057385 68086688468862 113477814114770 170216721172155 340433442344310