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34413360630 = 23511422924659
BaseRepresentation
bin100000000011001100…
…100011010111110110
310021211022210212000020
4200003030203113312
51030434310020010
623450445430010
72325536511315
oct400314432766
9107738725006
1034413360630
111365a499210
126804b6b306
1333258254ac
14194664027c
15d66301470
hex8033235f6

34413360630 has 64 divisors (see below), whose sum is σ = 90125395200. Its totient is φ = 8340321920.

The previous prime is 34413360571. The next prime is 34413360637. The reversal of 34413360630 is 3606331443.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34413360591 and 34413360600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34413360637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1383241 + ... + 1407899.

It is an arithmetic number, because the mean of its divisors is an integer number (1408209300).

Almost surely, 234413360630 is an apocalyptic number.

34413360630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34413360630 is an abundant number, since it is smaller than the sum of its proper divisors (55712034570).

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

34413360630 is a wasteful number, since it uses less digits than its factorization.

34413360630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28909.

The product of its (nonzero) digits is 46656, while the sum is 33.

The spelling of 34413360630 in words is "thirty-four billion, four hundred thirteen million, three hundred sixty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 4229 8458 12687 21145 24659 25374 42290 46519 49318 63435 73977 93038 123295 126870 139557 147954 232595 246590 271249 279114 369885 465190 542498 697785 739770 813747 1356245 1395570 1627494 2712490 4068735 8137470 104282911 208565822 312848733 521414555 625697466 1042829110 1147112021 1564243665 2294224042 3128487330 3441336063 5735560105 6882672126 11471120210 17206680315 34413360630