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336713328 = 24337111347
BaseRepresentation
bin10100000100011…
…101011001110000
3212110120210212000
4110010131121300
51142144311303
653224534000
711226005340
oct2404353160
9773523760
10336713328
1116307a786
1294921300
13549b3673
1432a0cd20
151e861da3
hex1411d670

336713328 has 80 divisors (see below), whose sum is σ = 1104572160. Its totient is φ = 96202944.

The previous prime is 336713323. The next prime is 336713369. The reversal of 336713328 is 823317633.

It is a happy number.

336713328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3367133282 = 226751730505671168, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 336713292 and 336713301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336713323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52650 + ... + 58697.

It is an arithmetic number, because the mean of its divisors is an integer number (13807152).

Almost surely, 2336713328 is an apocalyptic number.

It is an amenable number.

336713328 is an abundant number, since it is smaller than the sum of its proper divisors (767858832).

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

336713328 is a wasteful number, since it uses less digits than its factorization.

336713328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111371 (or 111359 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 336713328 is about 18349.7500800420. The cubic root of 336713328 is about 695.6969548718.

The spelling of 336713328 in words is "three hundred thirty-six million, seven hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 111347 222694 334041 445388 668082 779429 890776 1002123 1336164 1558858 1781552 2004246 2338287 2672328 3006369 3117716 4008492 4676574 5344656 6012738 6235432 7014861 8016984 9353148 12025476 12470864 14029722 16033968 18706296 21044583 24050952 28059444 37412592 42089166 48101904 56118888 84178332 112237776 168356664 336713328