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331379830336 = 2647215312
BaseRepresentation
bin1001101001001111100…
…01101110111001000000
31011200100102121120111111
410310213301232321000
520412131214032321
6412122255453104
732640621040222
oct4644761567100
91150312546444
10331379830336
111185a0303285
1254282527194
132533102ca59
141207892c412
1589474e65e1
hex4d27c6ee40

331379830336 has 63 divisors (see below), whose sum is σ = 672309768027. Its totient is φ = 162058677120.

The previous prime is 331379830333. The next prime is 331379830429. The reversal of 331379830336 is 633038973133.

The square root of 331379830336 is 575656.

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

It is a super-2 number, since 2×3313798303362 (a number of 24 digits) 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 331379830336.

It is not an unprimeable number, because it can be changed into a prime (331379830333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 216445891 + ... + 216447421.

Almost surely, 2331379830336 is an apocalyptic number.

331379830336 is the 575656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331379830336

331379830336 is an abundant number, since it is smaller than the sum of its proper divisors (340929937691).

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

331379830336 is an frugal number, since it uses more digits than its factorization.

331379830336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 49.

Multiplying 331379830336 by its sum of digits (49), we get a square (16237611686464 = 40295922).

The spelling of 331379830336 in words is "three hundred thirty-one billion, three hundred seventy-nine million, eight hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 1531 2209 3008 3062 4418 6124 8836 12248 17672 24496 35344 48992 70688 71957 97984 141376 143914 287828 575656 1151312 2302624 2343961 3381979 4605248 4687922 6763958 9375844 13527916 18751688 27055832 37503376 54111664 75006752 108223328 110166167 150013504 216446656 220332334 440664668 881329336 1762658672 3525317344 5177809849 7050634688 10355619698 20711239396 41422478792 82844957584 165689915168 331379830336