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330345264 = 24329435519
BaseRepresentation
bin10011101100001…
…010101100110000
3212000121021111210
4103230022230300
51134032022024
652440240120
711120613504
oct2354125460
9760537453
10330345264
1115a520317
1292770040
1353593c92
1431c32304
151e005129
hex13b0ab30

330345264 has 80 divisors (see below), whose sum is σ = 903513600. Its totient is φ = 103826688.

The previous prime is 330345259. The next prime is 330345277. The reversal of 330345264 is 462543033.

It is an unprimeable number.

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, 57097 + ... + 62615.

It is an arithmetic number, because the mean of its divisors is an integer number (11293920).

Almost surely, 2330345264 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 330345264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451756800).

330345264 is an abundant number, since it is smaller than the sum of its proper divisors (573168336).

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

330345264 is a wasteful number, since it uses less digits than its factorization.

330345264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 330345264 is about 18175.4027190596. The cubic root of 330345264 is about 691.2832410573.

Adding to 330345264 its reverse (462543033), we get a palindrome (792888297).

The spelling of 330345264 in words is "three hundred thirty million, three hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 688 696 1032 1247 1392 2064 2494 3741 4988 5519 7482 9976 11038 14964 16557 19952 22076 29928 33114 44152 59856 66228 88304 132456 160051 237317 264912 320102 474634 480153 640204 711951 949268 960306 1280408 1423902 1898536 1920612 2560816 2847804 3797072 3841224 5695608 6882193 7682448 11391216 13764386 20646579 27528772 41293158 55057544 82586316 110115088 165172632 330345264