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380874256 = 2472172412
BaseRepresentation
bin10110101100111…
…010111000010000
3222112200102020221
4112230322320100
51240000434011
6101443242424
712303243400
oct2654727020
9875612227
10380874256
11185aa2514
12a7679414
1360ba60a9
1438826800
1523686971
hex16b3ae10

380874256 has 135 divisors (see below), whose sum is σ = 934674087. Its totient is φ = 149882880.

The previous prime is 380874223. The next prime is 380874281. The reversal of 380874256 is 652478083.

The square root of 380874256 is 19516.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26832400 + 354041856 = 5180^2 + 18816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9289596 + ... + 9289636.

Almost surely, 2380874256 is an apocalyptic number.

380874256 is the 19516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380874256

380874256 is an abundant number, since it is smaller than the sum of its proper divisors (553799831).

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

380874256 is a wasteful number, since it uses less digits than its factorization.

380874256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The cubic root of 380874256 is about 724.8706902157.

The spelling of 380874256 in words is "three hundred eighty million, eight hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 49 56 68 82 98 112 119 136 164 196 238 272 287 289 328 392 476 574 578 656 697 784 833 952 1148 1156 1394 1666 1681 1904 2009 2023 2296 2312 2788 3332 3362 4018 4046 4592 4624 4879 5576 6664 6724 8036 8092 9758 11152 11767 11849 13328 13448 14161 16072 16184 19516 23534 23698 26896 28322 28577 32144 32368 34153 39032 47068 47396 56644 57154 68306 78064 82369 82943 94136 94792 113288 114308 136612 164738 165886 188272 189584 200039 226576 228616 273224 329476 331772 400078 457232 485809 546448 580601 658952 663544 800156 971618 1161202 1317904 1327088 1400273 1600312 1943236 2322404 2800546 3200624 3400663 3886472 4644808 5601092 6801326 7772944 9289616 11202184 13602652 22404368 23804641 27205304 47609282 54410608 95218564 190437128 380874256