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379885464 = 2334789941
BaseRepresentation
bin10110101001001…
…001011110011000
3222110211011220000
4112221021132120
51234222313324
6101410133000
712261654540
oct2651113630
9873734800
10379885464
11185487632
12a7281160
136091acca
143864a320
152353d9c9
hex16a49798

379885464 has 160 divisors (see below), whose sum is σ = 1231005600. Its totient is φ = 107205120.

The previous prime is 379885447. The next prime is 379885531. The reversal of 379885464 is 464588973.

379885464 is a `hidden beast` number, since 3 + 7 + 98 + 8 + 546 + 4 = 666.

379885464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 379885464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403234 + ... + 404174.

It is an arithmetic number, because the mean of its divisors is an integer number (7693785).

Almost surely, 2379885464 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 379885464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615502800).

379885464 is an abundant number, since it is smaller than the sum of its proper divisors (851120136).

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

379885464 is a wasteful number, since it uses less digits than its factorization.

379885464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1042 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 379885464 is about 19490.6506818013. The cubic root of 379885464 is about 724.2428649117.

The spelling of 379885464 in words is "three hundred seventy-nine million, eight hundred eighty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 89 108 126 162 168 178 189 216 252 267 324 356 378 504 534 567 623 648 712 756 801 941 1068 1134 1246 1512 1602 1869 1882 2136 2268 2403 2492 2823 3204 3738 3764 4536 4806 4984 5607 5646 6408 6587 7209 7476 7528 8469 9612 11214 11292 13174 14418 14952 16821 16938 19224 19761 22428 22584 25407 26348 28836 33642 33876 39522 44856 50463 50814 52696 57672 59283 67284 67752 76221 79044 83749 100926 101628 118566 134568 152442 158088 167498 177849 201852 203256 237132 251247 304884 334996 355698 403704 474264 502494 533547 586243 609768 669992 711396 753741 1004988 1067094 1172486 1422792 1507482 1758729 2009976 2134188 2261223 2344972 3014964 3517458 4268376 4522446 4689944 5276187 6029928 6783669 7034916 9044892 10552374 13567338 14069832 15828561 18089784 21104748 27134676 31657122 42209496 47485683 54269352 63314244 94971366 126628488 189942732 379885464