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34353231664 = 2423541172553
BaseRepresentation
bin11111111111100111…
…001011011100110000
310021200010122222120111
4133333213023130300
51030323411403124
623440500551104
72324206436233
oct377747133460
9107603588514
1034353231664
111362955a454
1267a89b2494
13331623191b
14193c66b41a
15d60dc5494
hex7ff9cb730

34353231664 has 40 divisors (see below), whose sum is σ = 69582055392. Its totient is φ = 16399342080.

The previous prime is 34353231623. The next prime is 34353231673. The reversal of 34353231664 is 46613235343.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112812 + ... + 285364.

Almost surely, 234353231664 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 34353231664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34791027696).

34353231664 is an abundant number, since it is smaller than the sum of its proper divisors (35228823728).

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

34353231664 is a wasteful number, since it uses less digits than its factorization.

34353231664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173125 (or 173119 counting only the distinct ones).

The product of its digits is 466560, while the sum is 40.

The spelling of 34353231664 in words is "thirty-four billion, three hundred fifty-three million, two hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 541 1082 2164 4328 8656 12443 24886 49772 99544 172553 199088 345106 690212 1380424 2760848 3968719 7937438 15874876 31749752 63499504 93351173 186702346 373404692 746809384 1493618768 2147076979 4294153958 8588307916 17176615832 34353231664