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34325695488 = 2103719292897
BaseRepresentation
bin11111111101111110…
…001000110000000000
310021121012212000001010
4133331332020300000
51030244334223423
623434034440520
72323423411650
oct377576106000
9107535760033
1034325695488
1113614a62087
12679b733140
133310610226
141938b40360
15d5d786693
hex7fdf88c00

34325695488 has 352 divisors, whose sum is σ = 113898355200. Its totient is φ = 8967684096.

The previous prime is 34325695447. The next prime is 34325695501. The reversal of 34325695488 is 88459652343.

It is a super-3 number, since 3×343256954883 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11847256 + ... + 11850152.

Almost surely, 234325695488 is an apocalyptic number.

34325695488 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34325695488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56949177600).

34325695488 is an abundant number, since it is smaller than the sum of its proper divisors (79572659712).

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

34325695488 is a wasteful number, since it uses less digits than its factorization.

34325695488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2957 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 57.

The spelling of 34325695488 in words is "thirty-four billion, three hundred twenty-five million, six hundred ninety-five thousand, four hundred eighty-eight".