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330020790 = 235112343481
BaseRepresentation
bin10011101010111…
…011011110110110
3211222222210102020
4103222323132312
51133441131130
652425254010
711115062511
oct2352733666
9758883366
10330020790
1115a319560
1292634306
13534ac398
1431b89d78
151de8de10
hex13abb7b6

330020790 has 64 divisors (see below), whose sum is σ = 901642752. Its totient is φ = 76524800.

The previous prime is 330020777. The next prime is 330020791. The reversal of 330020790 is 97020033.

330020790 is a modest number, since divided by 20790 gives 330 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 330020790.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330020791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14151 + ... + 29330.

It is an arithmetic number, because the mean of its divisors is an integer number (14088168).

Almost surely, 2330020790 is an apocalyptic number.

330020790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330020790 is an abundant number, since it is smaller than the sum of its proper divisors (571621962).

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

330020790 is a wasteful number, since it uses less digits than its factorization.

330020790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43525.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 330020790 is about 18166.4743414896. The cubic root of 330020790 is about 691.0568345852.

It can be divided in two parts, 3300 and 20790, that added together give a triangular number (24090 = T219).

The spelling of 330020790 in words is "three hundred thirty million, twenty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 43481 86962 130443 217405 260886 434810 478291 652215 956582 1000063 1304430 1434873 2000126 2391455 2869746 3000189 4782910 5000315 6000378 7174365 10000630 11000693 14348730 15000945 22001386 30001890 33002079 55003465 66004158 110006930 165010395 330020790