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330120472 = 231123211773
BaseRepresentation
bin10011101011010…
…011110100011000
3212000011212011011
4103223103310120
51134002323342
652431343304
711115656233
oct2353236430
9760155134
10330120472
1115a387440
1292681b34
1353515876
1431bb441a
151dead717
hex13ad3d18

330120472 has 64 divisors (see below), whose sum is σ = 708860160. Its totient is φ = 142665600.

The previous prime is 330120437. The next prime is 330120473. The reversal of 330120472 is 274021033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330120473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426678 + ... + 427450.

It is an arithmetic number, because the mean of its divisors is an integer number (11075940).

Almost surely, 2330120472 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 330120472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354430080).

330120472 is an abundant number, since it is smaller than the sum of its proper divisors (378739688).

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

330120472 is a wasteful number, since it uses less digits than its factorization.

330120472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 330120472 is about 18169.2177046784. The cubic root of 330120472 is about 691.1264049426.

The spelling of 330120472 in words is "three hundred thirty million, one hundred twenty thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 211 253 422 506 773 844 1012 1546 1688 2024 2321 3092 4642 4853 6184 8503 9284 9706 17006 17779 18568 19412 34012 35558 38824 53383 68024 71116 106766 142232 163103 195569 213532 326206 391138 427064 652412 782276 1304824 1564552 1794133 3588266 3751369 7176532 7502738 14353064 15005476 30010952 41265059 82530118 165060236 330120472