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330195040 = 25571132609
BaseRepresentation
bin10011101011100…
…110000001100000
3212000022122102221
4103223212001200
51134012220130
652433120424
711116416520
oct2353460140
9760278387
10330195040
1115a42846a
12926b9114
13535407a6
1431bd3680
151dec587a
hex13ae6060

330195040 has 96 divisors (see below), whose sum is σ = 899760960. Its totient is φ = 112164864.

The previous prime is 330195037. The next prime is 330195109. The reversal of 330195040 is 40591033.

It is a junction number, because it is equal to n+sod(n) for n = 330194996 and 330195014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125256 + ... + 127864.

It is an arithmetic number, because the mean of its divisors is an integer number (9372510).

Almost surely, 2330195040 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 330195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449880480).

330195040 is an abundant number, since it is smaller than the sum of its proper divisors (569565920).

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

330195040 is a wasteful number, since it uses less digits than its factorization.

330195040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 330195040 is about 18171.2696309311. The cubic root of 330195040 is about 691.1784385064.

The spelling of 330195040 in words is "three hundred thirty million, one hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 113 140 160 224 226 280 452 560 565 791 904 1120 1130 1582 1808 2260 2609 3164 3616 3955 4520 5218 6328 7910 9040 10436 12656 13045 15820 18080 18263 20872 25312 26090 31640 36526 41744 52180 63280 73052 83488 91315 104360 126560 146104 182630 208720 292208 294817 365260 417440 584416 589634 730520 1179268 1461040 1474085 2063719 2358536 2922080 2948170 4127438 4717072 5896340 8254876 9434144 10318595 11792680 16509752 20637190 23585360 33019504 41274380 47170720 66039008 82548760 165097520 330195040