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330440904 = 23333161809
BaseRepresentation
bin10011101100100…
…010000011001000
3212000210010201000
4103230202003020
51134043102104
652442255000
711121462363
oct2354420310
9760703630
10330440904
1115a586162
12927b7460
13535c8681
1431c590da
151e023639
hex13b220c8

330440904 has 128 divisors (see below), whose sum is σ = 964224000. Its totient is φ = 104716800.

The previous prime is 330440867. The next prime is 330440909. The reversal of 330440904 is 409044033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (330440909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408052 + ... + 408860.

It is an arithmetic number, because the mean of its divisors is an integer number (7533000).

Almost surely, 2330440904 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 330440904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112000).

330440904 is an abundant number, since it is smaller than the sum of its proper divisors (633783096).

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

330440904 is a wasteful number, since it uses less digits than its factorization.

330440904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 330440904 is about 18178.0335570160. The cubic root of 330440904 is about 691.3499469728.

Adding to 330440904 its reverse (409044033), we get a palindrome (739484937).

The spelling of 330440904 in words is "three hundred thirty million, four hundred forty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 61 62 72 93 108 122 124 183 186 216 244 248 279 366 372 488 549 558 732 744 809 837 1098 1116 1464 1618 1647 1674 1891 2196 2232 2427 3236 3294 3348 3782 4392 4854 5673 6472 6588 6696 7281 7564 9708 11346 13176 14562 15128 17019 19416 21843 22692 25079 29124 34038 43686 45384 49349 50158 51057 58248 68076 75237 87372 98698 100316 102114 136152 148047 150474 174744 197396 200632 204228 225711 296094 300948 394792 408456 444141 451422 592188 601896 677133 888282 902844 1184376 1332423 1354266 1529819 1776564 1805688 2664846 2708532 3059638 3553128 4589457 5329692 5417064 6119276 9178914 10659384 12238552 13768371 18357828 27536742 36715656 41305113 55073484 82610226 110146968 165220452 330440904