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330775328 = 251323181191
BaseRepresentation
bin10011101101110…
…011101100100000
3212001102010110002
4103231303230200
51134134302303
652453355132
711124354362
oct2355635440
9761363402
10330775328
1115a794444
1292938aa8
13536b4960
1431d04d32
151e08c788
hex13b73b20

330775328 has 96 divisors (see below), whose sum is σ = 739694592. Its totient is φ = 144460800.

The previous prime is 330775327. The next prime is 330775339. The reversal of 330775328 is 823577033.

It is a super-2 number, since 2×3307753282 = 218824635227015168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330775291 and 330775300.

It is not an unprimeable number, because it can be changed into a prime (330775327) 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, 1731713 + ... + 1731903.

It is an arithmetic number, because the mean of its divisors is an integer number (7705152).

Almost surely, 2330775328 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 330775328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369847296).

330775328 is an abundant number, since it is smaller than the sum of its proper divisors (408919264).

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

330775328 is a wasteful number, since it uses less digits than its factorization.

330775328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 330775328 is about 18187.2298055531. The cubic root of 330775328 is about 691.5830961368.

The spelling of 330775328 in words is "three hundred thirty million, seven hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 181 184 191 208 299 362 368 382 416 598 724 736 764 1196 1448 1528 2353 2392 2483 2896 3056 4163 4393 4706 4784 4966 5792 6112 8326 8786 9412 9568 9932 16652 17572 18824 19864 33304 34571 35144 37648 39728 54119 57109 66608 69142 70288 75296 79456 108238 114218 133216 138284 140576 216476 228436 276568 432952 449423 456872 553136 795133 865904 898846 913744 1106272 1590266 1731808 1797692 1827488 3180532 3595384 6361064 7190768 10336729 12722128 14381536 20673458 25444256 41346916 82693832 165387664 330775328