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330790768 = 2472113317
BaseRepresentation
bin10011101101110…
…111011101110000
3212001102220121221
4103231313131300
51134140301033
652453554424
711124450400
oct2355673560
9761386557
10330790768
1115a7a5000
1292945a14
13536bb9a9
1431d0a800
151e09212d
hex13b77770

330790768 has 120 divisors (see below), whose sum is σ = 822630384. Its totient is φ = 128472960.

The previous prime is 330790763. The next prime is 330790883. The reversal of 330790768 is 867097033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330790763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043346 + ... + 1043662.

Almost surely, 2330790768 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 330790768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411315192).

330790768 is an abundant number, since it is smaller than the sum of its proper divisors (491839616).

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

330790768 is a wasteful number, since it uses less digits than its factorization.

330790768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 330790768 is about 18187.6542742598. The cubic root of 330790768 is about 691.5938565895.

The spelling of 330790768 in words is "three hundred thirty million, seven hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 317 392 484 539 616 634 784 847 968 1078 1232 1268 1331 1694 1936 2156 2219 2536 2662 3388 3487 4312 4438 5072 5324 5929 6776 6974 8624 8876 9317 10648 11858 13552 13948 15533 17752 18634 21296 23716 24409 27896 31066 35504 37268 38357 47432 48818 55792 62132 65219 74536 76714 94864 97636 124264 130438 149072 153428 170863 195272 248528 260876 268499 306856 341726 390544 421927 521752 536998 613712 683452 843854 1043504 1073996 1366904 1687708 1879493 2147992 2733808 2953489 3375416 3758986 4295984 5906978 6750832 7517972 11813956 15035944 20674423 23627912 30071888 41348846 47255824 82697692 165395384 330790768