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34357350432 = 253477614661
BaseRepresentation
bin11111111111110110…
…111001000000100000
310021200102102020110110
4133333312321000200
51030330440203212
623441125131320
72324256442266
oct377766710040
9107612366413
1034357350432
1113630912999
1267aa259b40
133317044572
14193d020436
15d6143aa3c
hex7ffdb9020

34357350432 has 48 divisors (see below), whose sum is σ = 92106951552. Its totient is φ = 11208779520.

The previous prime is 34357350413. The next prime is 34357350449. The reversal of 34357350432 is 23405375343.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3802819 + ... + 3811842.

It is an arithmetic number, because the mean of its divisors is an integer number (1918894824).

Almost surely, 234357350432 is an apocalyptic number.

34357350432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34357350432 is an abundant number, since it is smaller than the sum of its proper divisors (57749601120).

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

34357350432 is a wasteful number, since it uses less digits than its factorization.

34357350432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614721 (or 7614713 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 39.

The spelling of 34357350432 in words is "thirty-four billion, three hundred fifty-seven million, three hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 7614661 15229322 22843983 30458644 45687966 60917288 91375932 121834576 182751864 243669152 357889067 365503728 715778134 731007456 1073667201 1431556268 2147334402 2863112536 4294668804 5726225072 8589337608 11452450144 17178675216 34357350432