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379772316 = 2232711178059
BaseRepresentation
bin10110101000101…
…101110110011100
3222110121102200100
4112220231312130
51234210203231
6101403501100
712261003630
oct2650556634
9873542610
10379772316
1118540a620
12a7227790
13608ab661
143861adc0
152351a1e6
hex16a2dd9c

379772316 has 144 divisors (see below), whose sum is σ = 1267418880. Its totient is φ = 92828160.

The previous prime is 379772311. The next prime is 379772347. The reversal of 379772316 is 613277973.

379772316 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

379772316 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379772311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43095 + ... + 51153.

It is an arithmetic number, because the mean of its divisors is an integer number (8801520).

Almost surely, 2379772316 is an apocalyptic number.

379772316 is a gapful number since it is divisible by the number (36) 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 379772316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633709440).

379772316 is an abundant number, since it is smaller than the sum of its proper divisors (887646564).

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

379772316 is a wasteful number, since it uses less digits than its factorization.

379772316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104 (or 8099 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The square root of 379772316 is about 19487.7478431962. The cubic root of 379772316 is about 724.1709530885.

The spelling of 379772316 in words is "three hundred seventy-nine million, seven hundred seventy-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 8059 11781 15708 16118 23562 24177 32236 47124 48354 56413 72531 88649 96708 112826 137003 145062 169239 177298 225652 265947 274006 290124 338478 354596 411009 507717 531894 548012 620543 676956 797841 822018 959021 1015434 1063788 1233027 1241086 1507033 1595682 1644036 1861629 1918042 2030868 2466054 2482172 2877063 3014066 3191364 3723258 3836084 4521099 4932108 5584887 5754126 6028132 7446516 8631189 9042198 10549231 11169774 11508252 13563297 17262378 18084396 21098462 22339548 27126594 31647693 34524756 42196924 54253188 63295386 94943079 126590772 189886158 379772316