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379964736 = 26331971163
BaseRepresentation
bin10110101001011…
…100110101000000
3222110222012122000
4112221130311000
51234232332421
6101411544000
712262434624
oct2651346500
9873865560
10379964736
11185531148
12a72bb000
1360948108
143866b184
1523557226
hex16a5cd40

379964736 has 224 divisors, whose sum is σ = 1199692800. Its totient is φ = 117573120.

The previous prime is 379964731. The next prime is 379964747. The reversal of 379964736 is 637469973.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379964731) 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, 2330991 + ... + 2331153.

Almost surely, 2379964736 is an apocalyptic number.

379964736 is a gapful number since it is divisible by the number (36) 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 379964736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599846400).

379964736 is an abundant number, since it is smaller than the sum of its proper divisors (819728064).

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

379964736 is a wasteful number, since it uses less digits than its factorization.

379964736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 379964736 is about 19492.6841661173. The cubic root of 379964736 is about 724.2932381538.

The spelling of 379964736 in words is "three hundred seventy-nine million, nine hundred sixty-four thousand, seven hundred thirty-six".