Search a number
-
+
34503641352 = 23324311144587
BaseRepresentation
bin100000001000100100…
…111100100100001000
310022001121200120212200
4200020210330210020
51031130413010402
623503432440200
72331014053365
oct401044744410
9108047616780
1034503641352
11136a6451484
12682b249060
13333b44513b
14195462146c
15d6e1d621c
hex80893c908

34503641352 has 48 divisors (see below), whose sum is σ = 95620565040. Its totient is φ = 11233742688.

The previous prime is 34503641323. The next prime is 34503641411. The reversal of 34503641352 is 25314630543.

34503641352 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 3 + 641 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5569198 + ... + 5575389.

It is an arithmetic number, because the mean of its divisors is an integer number (1992095105).

Almost surely, 234503641352 is an apocalyptic number.

It is an amenable number.

34503641352 is an abundant number, since it is smaller than the sum of its proper divisors (61116923688).

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

34503641352 is a wasteful number, since it uses less digits than its factorization.

34503641352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144642 (or 11144635 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 34503641352 in words is "thirty-four billion, five hundred three million, six hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 11144587 22289174 33433761 44578348 66867522 89156696 100301283 133735044 200602566 267470088 401205132 479217241 802410264 958434482 1437651723 1916868964 2875303446 3833737928 4312955169 5750606892 8625910338 11501213784 17251820676 34503641352