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382280704 = 210132472
BaseRepresentation
bin10110110010010…
…010010000000000
3222122022212112121
4112302102100000
51240330440304
6101533334024
712321222001
oct2662222000
9878285477
10382280704
11186873173
12a8037314
1361279300
1438ab11a8
1523863554
hex16c92400

382280704 has 99 divisors (see below), whose sum is σ = 845474457. Its totient is φ = 172683264.

The previous prime is 382280699. The next prime is 382280711. The reversal of 382280704 is 407082283.

The square root of 382280704 is 19552.

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

It can be written as a sum of positive squares in only one way, i.e., 56550400 + 325730304 = 7520^2 + 18048^2 .

It is a super-2 number, since 2×3822807042 = 292277073301471232, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 382280704.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8133609 + ... + 8133655.

Almost surely, 2382280704 is an apocalyptic number.

382280704 is the 19552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382280704

382280704 is an abundant number, since it is smaller than the sum of its proper divisors (463193753).

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

382280704 is an equidigital number, since it uses as much as digits as its factorization.

382280704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The cubic root of 382280704 is about 725.7618335055.

The spelling of 382280704 in words is "three hundred eighty-two million, two hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 169 188 208 256 338 376 416 512 611 676 752 832 1024 1222 1352 1504 1664 2209 2444 2704 3008 3328 4418 4888 5408 6016 6656 7943 8836 9776 10816 12032 13312 15886 17672 19552 21632 24064 28717 31772 35344 39104 43264 48128 57434 63544 70688 78208 86528 114868 127088 141376 156416 173056 229736 254176 282752 312832 373321 459472 508352 565504 625664 746642 918944 1016704 1131008 1493284 1837888 2033408 2262016 2986568 3675776 4066816 5973136 7351552 8133632 11946272 14703104 23892544 29406208 47785088 95570176 191140352 382280704