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34046341152 = 2532039173933
BaseRepresentation
bin11111101101010100…
…011111000000100000
310020212202012022221020
4133231110133000200
51024211330404102
623350215125440
72313462060555
oct375524370040
9106782168836
1034046341152
11134912aa02a
126722073880
1332977906c5
14190d9c2a2c
15d43ea4bbc
hex7ed51f020

34046341152 has 48 divisors (see below), whose sum is σ = 89415990720. Its totient is φ = 11343149312.

The previous prime is 34046341081. The next prime is 34046341157. The reversal of 34046341152 is 25114364043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (34046341157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108778 + ... + 282710.

It is an arithmetic number, because the mean of its divisors is an integer number (1862833140).

Almost surely, 234046341152 is an apocalyptic number.

34046341152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34046341152 is an abundant number, since it is smaller than the sum of its proper divisors (55369649568).

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

34046341152 is a wasteful number, since it uses less digits than its factorization.

34046341152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175985 (or 175977 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 34046341152 in words is "thirty-four billion, forty-six million, three hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2039 4078 6117 8156 12234 16312 24468 32624 48936 65248 97872 173933 195744 347866 521799 695732 1043598 1391464 2087196 2782928 4174392 5565856 8348784 16697568 354649387 709298774 1063948161 1418597548 2127896322 2837195096 4255792644 5674390192 8511585288 11348780384 17023170576 34046341152