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34953352452 = 22321757113321
BaseRepresentation
bin100000100011011000…
…011101010100000100
310100012221220021112100
4200203120131110010
51033041024234302
624020215352100
72345114410434
oct404330352404
9110187807470
1034953352452
1113907290047
126935982630
1333b0670495
1419982462c4
15d98918d1c
hex82361d504

34953352452 has 36 divisors (see below), whose sum is σ = 93551621436. Its totient is φ = 10965757440.

The previous prime is 34953352417. The next prime is 34953352453. The reversal of 34953352452 is 25425335943.

34953352452 is a `hidden beast` number, since 3 + 4 + 95 + 33 + 524 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28555592256 + 6397760196 = 168984^2 + 79986^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 34953352398 and 34953352407.

It is not an unprimeable number, because it can be changed into a prime (34953352453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28556049 + ... + 28557272.

It is an arithmetic number, because the mean of its divisors is an integer number (2598656151).

Almost surely, 234953352452 is an apocalyptic number.

It is an amenable number.

34953352452 is an abundant number, since it is smaller than the sum of its proper divisors (58598268984).

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

34953352452 is a wasteful number, since it uses less digits than its factorization.

34953352452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57113348 (or 57113343 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 34953352452 in words is "thirty-four billion, nine hundred fifty-three million, three hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 57113321 114226642 171339963 228453284 342679926 514019889 685359852 970926457 1028039778 1941852914 2056079556 2912779371 3883705828 5825558742 8738338113 11651117484 17476676226 34953352452