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380093472 = 25341113331
BaseRepresentation
bin10110101001111…
…100010000100000
3222111012202020000
4112221330100200
51234300442342
6101414420000
712263512143
oct2651742040
9874182200
10380093472
11185609940
12a7361600
13609918a5
14386a205a
152358044c
hex16a7c420

380093472 has 120 divisors (see below), whose sum is σ = 1219558032. Its totient is φ = 115171200.

The previous prime is 380093453. The next prime is 380093473. The reversal of 380093472 is 274390083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (380093473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21847 + ... + 35177.

Almost surely, 2380093472 is an apocalyptic number.

380093472 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 380093472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609779016).

380093472 is an abundant number, since it is smaller than the sum of its proper divisors (839464560).

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

380093472 is a wasteful number, since it uses less digits than its factorization.

380093472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13364 (or 13347 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 380093472 is about 19495.9860484152. The cubic root of 380093472 is about 724.3750282753.

The spelling of 380093472 in words is "three hundred eighty million, ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 13331 14256 26662 28512 39993 53324 79986 106648 119979 146641 159972 213296 239958 293282 319944 359937 426592 439923 479916 586564 639888 719874 879846 959832 1079811 1173128 1279776 1319769 1439748 1759692 1919664 2159622 2346256 2639538 2879496 3519384 3839328 3959307 4319244 4692512 5279076 5758992 7038768 7918614 8638488 10558152 11517984 11877921 14077536 15837228 17276976 21116304 23755842 31674456 34553952 42232608 47511684 63348912 95023368 126697824 190046736 380093472