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379665792 = 2734113329
BaseRepresentation
bin10110101000010…
…011110110000000
3222110102000120000
4112220103312000
51234143301132
6101401320000
712260051232
oct2650236600
9873360500
10379665792
11185347590
12a7196000
136087201c
14385d0252
15234e887c
hex16a13d80

379665792 has 160 divisors (see below), whose sum is σ = 1232965800. Its totient is φ = 115015680.

The previous prime is 379665787. The next prime is 379665823. The reversal of 379665792 is 297566973.

379665792 is a `hidden beast` number, since 3 + 7 + 9 + 66 + 579 + 2 = 666.

It is a super-2 number, since 2×3796657922 = 288292227229974528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112384 + ... + 115712.

Almost surely, 2379665792 is an apocalyptic number.

379665792 is a gapful number since it is divisible by the number (32) 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 379665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616482900).

379665792 is an abundant number, since it is smaller than the sum of its proper divisors (853300008).

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

379665792 is a wasteful number, since it uses less digits than its factorization.

379665792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3345 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The square root of 379665792 is about 19485.0145496481. The cubic root of 379665792 is about 724.1032381296.

The spelling of 379665792 in words is "three hundred seventy-nine million, six hundred sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3329 3456 3564 4224 4752 5184 6336 6658 7128 9504 9987 10368 12672 13316 14256 19008 19974 26632 28512 29961 36619 38016 39948 53264 57024 59922 73238 79896 89883 106528 109857 114048 119844 146476 159792 179766 213056 219714 239688 269649 292952 319584 329571 359532 426112 439428 479376 539298 585904 639168 659142 719064 878856 958752 988713 1078596 1171808 1278336 1318284 1438128 1757712 1917504 1977426 2157192 2343616 2636568 2876256 2966139 3515424 3835008 3954852 4314384 4687232 5273136 5752512 5932278 7030848 7909704 8628768 10546272 11505024 11864556 14061696 15819408 17257536 21092544 23729112 31638816 34515072 42185088 47458224 63277632 94916448 126555264 189832896 379665792