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330661104 = 243193071181
BaseRepresentation
bin10011101101010…
…111110011110000
3212001012022202120
4103231113303300
51134122123404
652451114240
711123400354
oct2355276360
9761168676
10330661104
1115a716644
12928a2980
1353674977
1431cb5464
151e0689d9
hex13b57cf0

330661104 has 80 divisors (see below), whose sum is σ = 902858880. Its totient is φ = 103991040.

The previous prime is 330661091. The next prime is 330661153. The reversal of 330661104 is 401166033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279394 + ... + 280574.

It is an arithmetic number, because the mean of its divisors is an integer number (11285736).

Almost surely, 2330661104 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 330661104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451429440).

330661104 is an abundant number, since it is smaller than the sum of its proper divisors (572197776).

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

330661104 is a wasteful number, since it uses less digits than its factorization.

330661104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 330661104 is about 18184.0893090636. The cubic root of 330661104 is about 691.5034806843.

The spelling of 330661104 in words is "three hundred thirty million, six hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 307 456 614 912 921 1181 1228 1842 2362 2456 3543 3684 4724 4912 5833 7086 7368 9448 11666 14172 14736 17499 18896 22439 23332 28344 34998 44878 46664 56688 67317 69996 89756 93328 134634 139992 179512 269268 279984 359024 362567 538536 725134 1077072 1087701 1450268 2175402 2900536 4350804 5801072 6888773 8701608 13777546 17403216 20666319 27555092 41332638 55110184 82665276 110220368 165330552 330661104