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330516816 = 24376771453
BaseRepresentation
bin10011101100110…
…100100101010000
3212000220222211120
4103230310211100
51134103014231
652444042240
711122226610
oct2354644520
9760828746
10330516816
1115a6281a3
1292833380
13536240a6
1431c78a40
151e03ad96
hex13b34950

330516816 has 80 divisors (see below), whose sum is σ = 977925504. Its totient is φ = 94228992.

The previous prime is 330516793. The next prime is 330516817. The reversal of 330516816 is 618615033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330516817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226746 + ... + 228198.

Almost surely, 2330516816 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 330516816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488962752).

330516816 is an abundant number, since it is smaller than the sum of its proper divisors (647408688).

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

330516816 is a wasteful number, since it uses less digits than its factorization.

330516816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 330516816 is about 18180.1214517395. The cubic root of 330516816 is about 691.4028840620.

The spelling of 330516816 in words is "three hundred thirty million, five hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 677 1354 1453 2031 2708 2906 4062 4359 4739 5416 5812 8124 8718 9478 10171 10832 11624 14217 16248 17436 18956 20342 23248 28434 30513 32496 34872 37912 40684 56868 61026 69744 75824 81368 113736 122052 162736 227472 244104 488208 983681 1967362 2951043 3934724 5902086 6885767 7869448 11804172 13771534 15738896 20657301 23608344 27543068 41314602 47216688 55086136 82629204 110172272 165258408 330516816