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380679288 = 2331119292617
BaseRepresentation
bin10110101100001…
…011010001111000
3222112022111210220
4112230023101320
51234423214123
6101435140040
712301502103
oct2654132170
9875274726
10380679288
11185979a90
12a75a4620
1360b38422
14387b573a
1523648ce3
hex16b0b478

380679288 has 128 divisors (see below), whose sum is σ = 1130976000. Its totient is φ = 105477120.

The previous prime is 380679281. The next prime is 380679323. The reversal of 380679288 is 882976083.

It is a self number, because there is not a number n which added to its sum of digits gives 380679288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380679281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144156 + ... + 146772.

It is an arithmetic number, because the mean of its divisors is an integer number (8835750).

Almost surely, 2380679288 is an apocalyptic number.

380679288 is a gapful number since it is divisible by the number (38) 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 380679288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565488000).

380679288 is an abundant number, since it is smaller than the sum of its proper divisors (750296712).

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

380679288 is a wasteful number, since it uses less digits than its factorization.

380679288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 380679288 is about 19511.0042796367. The cubic root of 380679288 is about 724.7469829745.

The spelling of 380679288 in words is "three hundred eighty million, six hundred seventy-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 29 33 38 44 57 58 66 76 87 88 114 116 132 152 174 209 228 232 264 319 348 418 456 551 627 638 696 836 957 1102 1254 1276 1653 1672 1914 2204 2508 2552 2617 3306 3828 4408 5016 5234 6061 6612 7656 7851 10468 12122 13224 15702 18183 20936 24244 28787 31404 36366 48488 49723 57574 62808 72732 75893 86361 99446 115148 145464 149169 151786 172722 198892 227679 230296 298338 303572 345444 397784 455358 546953 596676 607144 690888 834823 910716 1093906 1193352 1441967 1640859 1669646 1821432 2187812 2504469 2883934 3281718 3339292 4325901 4375624 5008938 5767868 6563436 6678584 8651802 10017876 11535736 13126872 15861637 17303604 20035752 31723274 34607208 47584911 63446548 95169822 126893096 190339644 380679288