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379208064 = 2734991979
BaseRepresentation
bin10110100110100…
…100000110000000
3222102112202200010
4112212210012000
51234034124224
6101343424520
712253133604
oct2646440600
9872482603
10379208064
111850646a4
12a6bb5140
1360741891
1438511504
1523457e29
hex169a4180

379208064 has 64 divisors (see below), whose sum is σ = 1009800000. Its totient is φ = 126085632.

The previous prime is 379208059. The next prime is 379208077. The reversal of 379208064 is 460802973.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 190627 + ... + 192605.

It is an arithmetic number, because the mean of its divisors is an integer number (15778125).

Almost surely, 2379208064 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 379208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504900000).

379208064 is an abundant number, since it is smaller than the sum of its proper divisors (630591936).

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

379208064 is a wasteful number, since it uses less digits than its factorization.

379208064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 379208064 is about 19473.2653656237. The cubic root of 379208064 is about 723.8121262976.

The spelling of 379208064 in words is "three hundred seventy-nine million, two hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 499 998 1497 1979 1996 2994 3958 3992 5937 5988 7916 7984 11874 11976 15832 15968 23748 23952 31664 31936 47496 47904 63328 63872 94992 95808 126656 189984 191616 253312 379968 759936 987521 1975042 2962563 3950084 5925126 7900168 11850252 15800336 23700504 31600672 47401008 63201344 94802016 126402688 189604032 379208064