Search a number
-
+
330394020 = 2235114710651
BaseRepresentation
bin10011101100010…
…110100110100100
3212000200202101120
4103230112212210
51134040102040
652441253540
711121205605
oct2354264644
9760622346
10330394020
1115a553a10
12927942b0
13535b0228
1431c45dac
151e0147d0
hex13b169a4

330394020 has 96 divisors (see below), whose sum is σ = 1030772736. Its totient is φ = 78384000.

The previous prime is 330394007. The next prime is 330394039. The reversal of 330394020 is 20493033.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25695 + ... + 36345.

It is an arithmetic number, because the mean of its divisors is an integer number (10737216).

Almost surely, 2330394020 is an apocalyptic number.

330394020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330394020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515386368).

330394020 is an abundant number, since it is smaller than the sum of its proper divisors (700378716).

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

330394020 is a wasteful number, since it uses less digits than its factorization.

330394020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10721 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 330394020 is about 18176.7439328390. The cubic root of 330394020 is about 691.3172484544.

The spelling of 330394020 in words is "three hundred thirty million, three hundred ninety-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 10651 15510 21302 31020 31953 42604 53255 63906 106510 117161 127812 159765 213020 234322 319530 351483 468644 500597 585805 639060 702966 1001194 1171610 1405932 1501791 1757415 2002388 2343220 2502985 3003582 3514830 5005970 5506567 6007164 7029660 7508955 10011940 11013134 15017910 16519701 22026268 27532835 30035820 33039402 55065670 66078804 82598505 110131340 165197010 330394020