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376364640 = 25352373467
BaseRepresentation
bin10110011011101…
…101111001100000
3222020012022020010
4112123231321200
51232322132030
6101202444520
712220022001
oct2633557140
9866168203
10376364640
111834a2363
12a6063740
135cc87592
1437db11a8
15230956b0
hex166ede60

376364640 has 192 divisors, whose sum is σ = 1256726016. Its totient is φ = 94482432.

The previous prime is 376364621. The next prime is 376364641. The reversal of 376364640 is 46463673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376364641) 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, 805687 + ... + 806153.

It is an arithmetic number, because the mean of its divisors is an integer number (6545448).

Almost surely, 2376364640 is an apocalyptic number.

376364640 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 376364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628363008).

376364640 is an abundant number, since it is smaller than the sum of its proper divisors (880361376).

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

376364640 is a wasteful number, since it uses less digits than its factorization.

376364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 376364640 is about 19400.1195872603. The cubic root of 376364640 is about 721.9984602091.

The spelling of 376364640 in words is "three hundred seventy-six million, three hundred sixty-four thousand, six hundred forty".