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34404415220 = 22572337288773
BaseRepresentation
bin100000000010101010…
…011011011011110100
310021210200222101012202
4200002222123123310
51030430012241340
623445530004032
72325400463360
oct400252333364
9107720871182
1034404415220
111365543940a
126801b76618
133323a12956
1419453922a0
15d65635c15
hex802a9b6f4

34404415220 has 96 divisors (see below), whose sum is σ = 88489594368. Its totient is φ = 10977956352.

The previous prime is 34404415219. The next prime is 34404415229. The reversal of 34404415220 is 2251440443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34404415229) 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, 25247 + ... + 263526.

It is an arithmetic number, because the mean of its divisors is an integer number (921766608).

Almost surely, 234404415220 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 34404415220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44244797184).

34404415220 is an abundant number, since it is smaller than the sum of its proper divisors (54085179148).

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

34404415220 is a wasteful number, since it uses less digits than its factorization.

34404415220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288849 (or 288847 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 34404415220 its reverse (2251440443), we get a palindrome (36655855663).

The spelling of 34404415220 in words is "thirty-four billion, four hundred four million, four hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 37 46 70 74 92 115 140 148 161 185 230 259 322 370 460 518 644 740 805 851 1036 1295 1610 1702 2590 3220 3404 4255 5180 5957 8510 11914 17020 23828 29785 59570 119140 288773 577546 1155092 1443865 2021411 2887730 4042822 5775460 6641779 8085644 10107055 10684601 13283558 20214110 21369202 26567116 33208895 40428220 42738404 46492453 53423005 66417790 74792207 92984906 106846010 132835580 149584414 185969812 213692020 232462265 245745823 299168828 373961035 464924530 491491646 747922070 929849060 982983292 1228729115 1495844140 1720220761 2457458230 3440441522 4914916460 6880883044 8601103805 17202207610 34404415220