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377372064 = 25322717317
BaseRepresentation
bin10110011111100…
…011110110100000
3222022002111011010
4112133203312200
51233101401224
6101240220520
712231416046
oct2637436640
9868074133
10377372064
11184020243
12a646a740
136024aca4
1438194396
15231e3e29
hex167e3da0

377372064 has 48 divisors (see below), whose sum is σ = 995023008. Its totient is φ = 125229312.

The previous prime is 377372059. The next prime is 377372089. The reversal of 377372064 is 460273773.

377372064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13134 + ... + 30450.

It is an arithmetic number, because the mean of its divisors is an integer number (20729646).

Almost surely, 2377372064 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 377372064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497511504).

377372064 is an abundant number, since it is smaller than the sum of its proper divisors (617650944).

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

377372064 is a wasteful number, since it uses less digits than its factorization.

377372064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17557 (or 17549 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 39.

The square root of 377372064 is about 19426.0666116432. The cubic root of 377372064 is about 722.6420829831.

The spelling of 377372064 in words is "three hundred seventy-seven million, three hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 908 1362 1816 2724 3632 5448 7264 10896 17317 21792 34634 51951 69268 103902 138536 207804 277072 415608 554144 831216 1662432 3930959 7861918 11792877 15723836 23585754 31447672 47171508 62895344 94343016 125790688 188686032 377372064