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330204105 = 325711233409
BaseRepresentation
bin10011101011101…
…000001111001001
3212000100002212200
4103223220033021
51134013012410
652433230413
711116455120
oct2353501711
9760302780
10330204105
1115a434260
1292702409
135354495a
1431bd6ab7
151dec83c0
hex13ae83c9

330204105 has 96 divisors (see below), whose sum is σ = 718398720. Its totient is φ = 136304640.

The previous prime is 330204103. The next prime is 330204109. The reversal of 330204105 is 501402033.

It is not a de Polignac number, because 330204105 - 21 = 330204103 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (330204103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 807141 + ... + 807549.

It is an arithmetic number, because the mean of its divisors is an integer number (7483320).

Almost surely, 2330204105 is an apocalyptic number.

330204105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

330204105 is an abundant number, since it is smaller than the sum of its proper divisors (388194615).

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

330204105 is a wasteful number, since it uses less digits than its factorization.

330204105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 330204105 is about 18171.5190614324. The cubic root of 330204105 is about 691.1847635309.

Adding to 330204105 its reverse (501402033), we get a palindrome (831606138).

The spelling of 330204105 in words is "three hundred thirty million, two hundred four thousand, one hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 233 315 385 409 495 693 699 1155 1165 1227 1631 2045 2097 2563 2863 3465 3495 3681 4499 4893 6135 7689 8155 8589 10485 12815 13497 14315 14679 17941 18405 22495 23067 24465 25767 31493 38445 40491 42945 53823 67485 73395 89705 94479 95297 115335 128835 157465 161469 202455 269115 283437 285891 472395 476485 667079 807345 857673 1048267 1417185 1429455 2001237 3144801 3335395 4288365 5241335 6003711 7337869 9434403 10006185 15724005 22013607 30018555 36689345 47172015 66040821 110068035 330204105