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381238272 = 2103313789
BaseRepresentation
bin10110101110010…
…011110000000000
3222120100220121000
4112232103300000
51240044111042
6101455132000
712306320562
oct2656236000
9876326530
10381238272
11186220a58
12a7814000
1360ca299c
14388bd332
152370974c
hex16b93c00

381238272 has 88 divisors (see below), whose sum is σ = 1129125200. Its totient is φ = 127070208.

The previous prime is 381238261. The next prime is 381238289. The reversal of 381238272 is 272832183.

It is a happy number.

381238272 is a `hidden beast` number, since 381 + 2 + 3 + 8 + 272 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20754 + ... + 34542.

Almost surely, 2381238272 is an apocalyptic number.

381238272 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 381238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564562600).

381238272 is an abundant number, since it is smaller than the sum of its proper divisors (747886928).

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

381238272 is a wasteful number, since it uses less digits than its factorization.

381238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13818 (or 13794 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 381238272 is about 19525.3238641514. The cubic root of 381238272 is about 725.1015455071.

The spelling of 381238272 in words is "three hundred eighty-one million, two hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13789 13824 27578 27648 41367 55156 82734 110312 124101 165468 220624 248202 330936 372303 441248 496404 661872 744606 882496 992808 1323744 1489212 1764992 1985616 2647488 2978424 3529984 3971232 5294976 5956848 7059968 7942464 10589952 11913696 14119936 15884928 21179904 23827392 31769856 42359808 47654784 63539712 95309568 127079424 190619136 381238272