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330428616 = 233717311369
BaseRepresentation
bin10011101100011…
…111000011001000
3212000202111211220
4103230133003020
51134042203431
652442122040
711121411510
oct2354370310
9760674756
10330428616
1115a577a01
12927b0320
13535c2bbb
1431c54840
151e01eb96
hex13b1f0c8

330428616 has 64 divisors (see below), whose sum is σ = 949622400. Its totient is φ = 93854208.

The previous prime is 330428573. The next prime is 330428621. The reversal of 330428616 is 616824033.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23380 + ... + 34748.

It is an arithmetic number, because the mean of its divisors is an integer number (14837850).

Almost surely, 2330428616 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 330428616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474811200).

330428616 is an abundant number, since it is smaller than the sum of its proper divisors (619193784).

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

330428616 is a wasteful number, since it uses less digits than its factorization.

330428616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11558 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 330428616 is about 18177.6955635196. The cubic root of 330428616 is about 691.3413771970.

The spelling of 330428616 in words is "three hundred thirty million, four hundred twenty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 519 692 1038 1211 1384 2076 2422 3633 4152 4844 7266 9688 11369 14532 22738 29064 34107 45476 68214 79583 90952 136428 159166 238749 272856 318332 477498 636664 954996 1909992 1966837 3933674 5900511 7867348 11801022 13767859 15734696 23602044 27535718 41303577 47204088 55071436 82607154 110142872 165214308 330428616