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34674265080 = 233357131931599
BaseRepresentation
bin100000010010101111…
…110100101111111000
310022111111202011122000
4200102233310233320
51032003102440310
623532405501000
72335155250560
oct402257645770
9108444664560
1034674265080
111378379a624
126878411760
1333678b5320
14196d157da0
15d7e18b4c0
hex812bf4bf8

34674265080 has 1024 divisors, whose sum is σ = 154828800000. Its totient is φ = 6696069120.

The previous prime is 34674265079. The next prime is 34674265097. The reversal of 34674265080 is 8056247643.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57886621 + ... + 57887219.

It is an arithmetic number, because the mean of its divisors is an integer number (151200000).

Almost surely, 234674265080 is an apocalyptic number.

34674265080 is a gapful number since it is divisible by the number (30) 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 34674265080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400000).

34674265080 is an abundant number, since it is smaller than the sum of its proper divisors (120154534920).

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

34674265080 is a wasteful number, since it uses less digits than its factorization.

34674265080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34674265080 in words is "thirty-four billion, six hundred seventy-four million, two hundred sixty-five thousand, eighty".