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330730596 = 2232724332
BaseRepresentation
bin10011101101101…
…000110001100100
3212001022212002100
4103231220301210
51134131334341
652452412100
711124110100
oct2355506144
9761285070
10330730596
1115a763879
1292917030
135369a4a1
1431cd2900
151e07e3b6
hex13b68c64

330730596 has 81 divisors (see below), whose sum is σ = 974756601. Its totient is φ = 94276224.

The previous prime is 330730583. The next prime is 330730607. The reversal of 330730596 is 695037033.

The square root of 330730596 is 18186.

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

330730596 is a `hidden beast` number, since 3 + 30 + 7 + 30 + 596 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37088100 + 293642496 = 6090^2 + 17136^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 330730596.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 763596 + ... + 764028.

Almost surely, 2330730596 is an apocalyptic number.

330730596 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

330730596 is the 18186-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330730596

330730596 is an abundant number, since it is smaller than the sum of its proper divisors (644026005).

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

330730596 is a wasteful number, since it uses less digits than its factorization.

330730596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The cubic root of 330730596 is about 691.5519195978.

Multiplying 330730596 by its sum of digits (36), we get a square (11906301456 = 1091162).

330730596 divided by its sum of digits (36) gives a square (9186961 = 30312).

The spelling of 330730596 in words is "three hundred thirty million, seven hundred thirty thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 433 441 588 866 882 1299 1732 1764 2598 3031 3897 5196 6062 7794 9093 12124 15588 18186 21217 27279 36372 42434 54558 63651 84868 109116 127302 187489 190953 254604 374978 381906 562467 749956 763812 1124934 1312423 1687401 2249868 2624846 3374802 3937269 5249692 6749604 7874538 9186961 11811807 15749076 18373922 23623614 27560883 36747844 47247228 55121766 82682649 110243532 165365298 330730596