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397096584336 = 243217230892
BaseRepresentation
bin1011100011101001100…
…11010000010010010000
31101221222100021120110100
411301310303100102100
523001223211144321
6502231301532400
740455265163214
oct5616463202220
91357870246410
10397096584336
11143453740221
1264b62a14100
132b5a4c729ca
141531073c944
15a4e1a82326
hex5c74cd0490

397096584336 has 135 divisors (see below), whose sum is σ = 1180918305931. Its totient is φ = 124538990592.

The previous prime is 397096584259. The next prime is 397096584383. The reversal of 397096584336 is 633485690793.

The square root of 397096584336 is 630156.

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 201152250000 + 195944334336 = 448500^2 + 442656^2 .

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, 128550280 + ... + 128553368.

Almost surely, 2397096584336 is an apocalyptic number.

397096584336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

397096584336 is the 630156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397096584336

397096584336 is an abundant number, since it is smaller than the sum of its proper divisors (783821721595).

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

397096584336 is an equidigital number, since it uses as much as digits as its factorization.

397096584336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 397096584336 in words is "three hundred ninety-seven billion, ninety-six million, five hundred eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3089 3468 4624 5202 6178 6936 9267 10404 12356 13872 18534 20808 24712 27801 37068 41616 49424 52513 55602 74136 105026 111204 148272 157539 210052 222408 315078 420104 444816 472617 630156 840208 892721 945234 1260312 1785442 1890468 2520624 2678163 3570884 3780936 5356326 7141768 7561872 8034489 9541921 10712652 14283536 16068978 19083842 21425304 28625763 32137956 38167684 42850608 57251526 64275912 76335368 85877289 114503052 128551824 152670736 162212657 171754578 229006104 324425314 343509156 458012208 486637971 648850628 687018312 973275942 1297701256 1374036624 1459913913 1946551884 2595402512 2757615169 2919827826 3893103768 5515230338 5839655652 7786207536 8272845507 11030460676 11679311304 16545691014 22060921352 23358622608 24818536521 33091382028 44121842704 49637073042 66182764056 99274146084 132365528112 198548292168 397096584336