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379737072 = 24351113683
BaseRepresentation
bin10110101000100…
…101001111110000
3222110112122100000
4112220211033300
51234203041242
6101403030000
712260466111
oct2650451760
9873478300
10379737072
111853960a0
12a720b300
13608985c0
143860c208
152350ea4c
hex16a253f0

379737072 has 240 divisors, whose sum is σ = 1296667008. Its totient is φ = 106064640.

The previous prime is 379737067. The next prime is 379737077. The reversal of 379737072 is 270737973.

379737072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (379737067) and next prime (379737077).

It is a super-2 number, since 2×3797370722 = 288400487702266368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379737077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555643 + ... + 556325.

Almost surely, 2379737072 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 379737072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

379737072 is an abundant number, since it is smaller than the sum of its proper divisors (916929936).

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

379737072 is a wasteful number, since it uses less digits than its factorization.

379737072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 388962, while the sum is 45.

The square root of 379737072 is about 19486.8435617470. The cubic root of 379737072 is about 724.1485506564.

The spelling of 379737072 in words is "three hundred seventy-nine million, seven hundred thirty-seven thousand, seventy-two".