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379156064 = 25753109293
BaseRepresentation
bin10110100110010…
…111011001100000
3222102110010100012
4112212113121200
51234030443224
6101342344052
712252526160
oct2646273140
9872403305
10379156064
11185029621
12a6b8b028
1360724001
14384da5a0
152344780e
hex16997660

379156064 has 96 divisors (see below), whose sum is σ = 880165440. Its totient is φ = 157427712.

The previous prime is 379155977. The next prime is 379156067. The reversal of 379156064 is 460651973.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379156067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293902 + ... + 1294194.

It is an arithmetic number, because the mean of its divisors is an integer number (9168390).

Almost surely, 2379156064 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 379156064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440082720).

379156064 is an abundant number, since it is smaller than the sum of its proper divisors (501009376).

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

379156064 is a wasteful number, since it uses less digits than its factorization.

379156064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 379156064 is about 19471.9301559963. The cubic root of 379156064 is about 723.7790398431.

The spelling of 379156064 in words is "three hundred seventy-nine million, one hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 109 112 212 218 224 293 371 424 436 586 742 763 848 872 1172 1484 1526 1696 1744 2051 2344 2968 3052 3488 4102 4688 5777 5936 6104 8204 9376 11554 11872 12208 15529 16408 23108 24416 31058 31937 32816 40439 46216 62116 63874 65632 80878 92432 108703 124232 127748 161756 184864 217406 223559 248464 255496 323512 434812 447118 496928 510992 647024 869624 894236 1021984 1294048 1692661 1739248 1788472 3385322 3478496 3576944 6770644 7153888 11848627 13541288 23697254 27082576 47394508 54165152 94789016 189578032 379156064