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379960704 = 2732615407
BaseRepresentation
bin10110101001011…
…011110110000000
3222110222000002200
4112221123312000
51234232220304
6101411513200
712262420104
oct2651336600
9873860080
10379960704
11185529112
12a72b8800
1360946326
1438669904
1523555e39
hex16a5bd80

379960704 has 96 divisors (see below), whose sum is σ = 1111506240. Its totient is φ = 124554240.

The previous prime is 379960703. The next prime is 379960739. The reversal of 379960704 is 407069973.

379960704 is a `hidden beast` number, since 37 + 9 + 9 + 607 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 379960704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379960703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67569 + ... + 72975.

It is an arithmetic number, because the mean of its divisors is an integer number (11578190).

Almost surely, 2379960704 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 379960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555753120).

379960704 is an abundant number, since it is smaller than the sum of its proper divisors (731545536).

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

379960704 is a wasteful number, since it uses less digits than its factorization.

379960704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 379960704 is about 19492.5807424261. The cubic root of 379960704 is about 724.2906761962.

The spelling of 379960704 in words is "three hundred seventy-nine million, nine hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3904 4392 5407 5856 7808 8784 10814 11712 16221 17568 21628 23424 32442 35136 43256 48663 64884 70272 86512 97326 129768 173024 194652 259536 329827 346048 389304 519072 659654 692096 778608 989481 1038144 1319308 1557216 1978962 2076288 2638616 2968443 3114432 3957924 5277232 5936886 6228864 7915848 10554464 11873772 15831696 21108928 23747544 31663392 42217856 47495088 63326784 94990176 126653568 189980352 379960704