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674864736 = 253713671153
BaseRepresentation
bin101000001110011…
…001111001100000
31202000212200101020
4220032121321200
52340231132421
6150544405440
722503153450
oct5016317140
91660780336
10674864736
11316a41957
1216a016880
13a9a7b760
14658b3d60
153e3a9dc6
hex28399e60

674864736 has 192 divisors, whose sum is σ = 2214793728. Its totient is φ = 175177728.

The previous prime is 674864711. The next prime is 674864737. The reversal of 674864736 is 637468476.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674864737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584736 + ... + 585888.

It is an arithmetic number, because the mean of its divisors is an integer number (11535384).

Almost surely, 2674864736 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 674864736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107396864).

674864736 is an abundant number, since it is smaller than the sum of its proper divisors (1539928992).

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

674864736 is a wasteful number, since it uses less digits than its factorization.

674864736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1245 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The square root of 674864736 is about 25978.1588262140. The cubic root of 674864736 is about 877.1467228331.

The spelling of 674864736 in words is "six hundred seventy-four million, eight hundred sixty-four thousand, seven hundred thirty-six".