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674860032 = 21033711317
BaseRepresentation
bin101000001110011…
…000110000000000
31202000212102221000
4220032120300000
52340231010112
6150544332000
722503133650
oct5016306000
91660772830
10674860032
11316a39370
1216a014000
13a9a79582
14658b2360
153e3a87dc
hex28398c00

674860032 has 352 divisors, whose sum is σ = 2499632640. Its totient is φ = 174735360.

The previous prime is 674859989. The next prime is 674860037. The reversal of 674860032 is 230068476.

674860032 is a `hidden beast` number, since 6 + 7 + 48 + 600 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (674860037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128738 + ... + 2129054.

Almost surely, 2674860032 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 674860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249816320).

674860032 is an abundant number, since it is smaller than the sum of its proper divisors (1824772608).

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

674860032 is a wasteful number, since it uses less digits than its factorization.

674860032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 674860032 is about 25978.0682884621. The cubic root of 674860032 is about 877.1446848406.

The spelling of 674860032 in words is "six hundred seventy-four million, eight hundred sixty thousand, thirty-two".