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330305328 = 243253113383
BaseRepresentation
bin10011101100000…
…000111100110000
3212000112020201200
4103230000330300
51134024232303
652435331200
711120356203
oct2354007460
9760466650
10330305328
1115a4a3311
1292750b00
135357ba52
1431c2193a
151dee83a3
hex13b00f30

330305328 has 120 divisors (see below), whose sum is σ = 952653312. Its totient is φ = 106788864.

The previous prime is 330305321. The next prime is 330305333. The reversal of 330305328 is 823503033.

It is a happy number.

330305328 is a `hidden beast` number, since 3 + 30 + 305 + 328 = 666.

It is not an unprimeable number, because it can be changed into a prime (330305321) 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, 862225 + ... + 862607.

Almost surely, 2330305328 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 330305328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476326656).

330305328 is an abundant number, since it is smaller than the sum of its proper divisors (622347984).

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

330305328 is a wasteful number, since it uses less digits than its factorization.

330305328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 330305328 is about 18174.3040582026. The cubic root of 330305328 is about 691.2553831330.

The spelling of 330305328 in words is "three hundred thirty million, three hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 113 144 159 212 226 318 339 383 424 452 477 636 678 766 848 904 954 1017 1149 1272 1356 1532 1808 1908 2034 2298 2544 2712 3064 3447 3816 4068 4596 5424 5989 6128 6894 7632 8136 9192 11978 13788 16272 17967 18384 20299 23956 27576 35934 40598 43279 47912 53901 55152 60897 71868 81196 86558 95824 107802 121794 129837 143736 162392 173116 182691 215604 243588 259674 287472 324784 346232 365382 389511 431208 487176 519348 692464 730764 779022 862416 974352 1038696 1461528 1558044 2077392 2293787 2923056 3116088 4587574 6232176 6881361 9175148 13762722 18350296 20644083 27525444 36700592 41288166 55050888 82576332 110101776 165152664 330305328