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330701328 = 243214915413
BaseRepresentation
bin10011101101100…
…001101000010000
3212001021100221100
4103231201220100
51134124420303
652452024400
711123625546
oct2355415020
9761240840
10330701328
1115a743891
1292902100
135368a079
1431cc5d96
151e0758a3
hex13b61a10

330701328 has 60 divisors (see below), whose sum is σ = 931776300. Its totient is φ = 109486848.

The previous prime is 330701303. The next prime is 330701341. The reversal of 330701328 is 823107033.

330701328 is a `hidden beast` number, since 330 + 7 + 0 + 1 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161493264 + 169208064 = 12708^2 + 13008^2 .

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, 13750 + ... + 29162.

It is an arithmetic number, because the mean of its divisors is an integer number (15529605).

Almost surely, 2330701328 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 330701328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465888150).

330701328 is an abundant number, since it is smaller than the sum of its proper divisors (601074972).

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

330701328 is a wasteful number, since it uses less digits than its factorization.

330701328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15576 (or 15567 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 330701328 is about 18185.1952972741. The cubic root of 330701328 is about 691.5315193699.

The spelling of 330701328 in words is "three hundred thirty million, seven hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 15413 21456 30826 46239 61652 92478 123304 138717 184956 246608 277434 369912 554868 739824 1109736 2219472 2296537 4593074 6889611 9186148 13779222 18372296 20668833 27558444 36744592 41337666 55116888 82675332 110233776 165350664 330701328