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330720768 = 2932710253
BaseRepresentation
bin10011101101100…
…110011000000000
3212001022100121100
4103231212120000
51134131031033
652452254400
711124036330
oct2355463000
9761270540
10330720768
1115a757454
1292911400
1353695b81
1431ccd0c0
151e07b513
hex13b66600

330720768 has 120 divisors (see below), whose sum is σ = 1090943568. Its totient is φ = 94482432.

The previous prime is 330720757. The next prime is 330720773. The reversal of 330720768 is 867027033.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27130 + ... + 37382.

Almost surely, 2330720768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545471784).

330720768 is an abundant number, since it is smaller than the sum of its proper divisors (760222800).

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

330720768 is a wasteful number, since it uses less digits than its factorization.

330720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10284 (or 10265 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 330720768 is about 18185.7297901404. The cubic root of 330720768 is about 691.5450694710.

The spelling of 330720768 in words is "three hundred thirty million, seven hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10253 10752 16128 20506 30759 32256 41012 61518 71771 82024 92277 123036 143542 164048 184554 215313 246072 287084 328096 369108 430626 492144 574168 645939 656192 738216 861252 984288 1148336 1291878 1312384 1476432 1722504 1968576 2296672 2583756 2624768 2952864 3445008 3937152 4593344 5167512 5249536 5905728 6890016 7874304 9186688 10335024 11811456 13780032 15748608 18373376 20670048 23622912 27560064 36746752 41340096 47245824 55120128 82680192 110240256 165360384 330720768