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34433041340 = 225171136911297
BaseRepresentation
bin100000000100010111…
…101000001110111100
310021212200211201212102
4200010113220032330
51031004324310330
623452431324232
72326166010425
oct400427501674
9107780751772
1034433041340
111366a610665
12680b680678
133329926499
1419490c464c
15d67ddc945
hex8045e83bc

34433041340 has 96 divisors (see below), whose sum is σ = 77411847744. Its totient is φ = 12819824640.

The previous prime is 34433041283. The next prime is 34433041369. The reversal of 34433041340 is 4314033443.

It is a congruent number.

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, 26547572 + ... + 26548868.

It is an arithmetic number, because the mean of its divisors is an integer number (806373414).

Almost surely, 234433041340 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 34433041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38705923872).

34433041340 is an abundant number, since it is smaller than the sum of its proper divisors (42978806404).

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

34433041340 is a wasteful number, since it uses less digits than its factorization.

34433041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 34433041340 its reverse (4314033443), we get a palindrome (38747074783).

The spelling of 34433041340 in words is "thirty-four billion, four hundred thirty-three million, forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 691 1130 1297 1382 1921 2260 2594 2764 3455 3842 5188 6485 6910 7684 9605 11747 12970 13820 19210 22049 23494 25940 38420 44098 46988 58735 78083 88196 110245 117470 146561 156166 220490 234940 293122 312332 390415 440980 586244 732805 780830 896227 1327411 1465610 1561660 1792454 2491537 2654822 2931220 3584908 4481135 4983074 5309644 6637055 8962270 9966148 12457685 13274110 15235859 17924540 24915370 26548220 30471718 49830740 60943436 76179295 101273651 152358590 202547302 304717180 405094604 506368255 1012736510 1721652067 2025473020 3443304134 6886608268 8608260335 17216520670 34433041340