Search a number
-
+
343656112536 = 233411103468079
BaseRepresentation
bin1010000000000111000…
…00000010000110011000
31012212000222121022210000
411000003200002012120
521112301431100121
6421512355053000
733554055521352
oct5000340020630
91185028538700
10343656112536
1112281aa09850
12567298a1160
13265394a9969
14128c11080d2
158e1513d526
hex5003802198

343656112536 has 160 divisors (see below), whose sum is σ = 1060257369600. Its totient is φ = 103126944960.

The previous prime is 343656112489. The next prime is 343656112559. The reversal of 343656112536 is 635211656343.

343656112536 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 5 + 611 + 25 + 3 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 343656112491 and 343656112500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 500145 + ... + 968223.

It is an arithmetic number, because the mean of its divisors is an integer number (6626608560).

Almost surely, 2343656112536 is an apocalyptic number.

343656112536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343656112536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530128684800).

343656112536 is an abundant number, since it is smaller than the sum of its proper divisors (716601257064).

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

343656112536 is a wasteful number, since it uses less digits than its factorization.

343656112536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468211 (or 468198 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

Adding to 343656112536 its reverse (635211656343), we get a palindrome (978867768879).

The spelling of 343656112536 in words is "three hundred forty-three billion, six hundred fifty-six million, one hundred twelve thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 103 108 132 162 198 206 216 264 297 309 324 396 412 594 618 648 792 824 891 927 1133 1188 1236 1782 1854 2266 2376 2472 2781 3399 3564 3708 4532 5562 6798 7128 7416 8343 9064 10197 11124 13596 16686 20394 22248 27192 30591 33372 40788 61182 66744 81576 91773 122364 183546 244728 367092 468079 734184 936158 1404237 1872316 2808474 3744632 4212711 5148869 5616948 8425422 10297738 11233896 12638133 15446607 16850844 20595476 25276266 30893214 33701688 37914399 41190952 46339821 48212137 50552532 61786428 75828798 92679642 96424274 101105064 123572856 139019463 144636411 151657596 185359284 192848548 278038926 289272822 303315192 370718568 385697096 417058389 433909233 530333507 556077852 578545644 834116778 867818466 1060667014 1112155704 1157091288 1301727699 1591000521 1668233556 1735636932 2121334028 2603455398 3182001042 3336467112 3471273864 3905183097 4242668056 4773001563 5206910796 6364002084 7810366194 9546003126 10413821592 12728004168 14319004689 15620732388 19092006252 28638009378 31241464776 38184012504 42957014067 57276018756 85914028134 114552037512 171828056268 343656112536