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34426451460 = 223517116329021
BaseRepresentation
bin100000000011111110…
…011111011000000100
310021212020102221020210
4200003332133120010
51031001132421320
623452034155420
72326056003102
oct400376373004
9107766387223
1034426451460
111366691a585
126809422b70
133328459b4b
14194828ac72
15d6753a0e0
hex803f9f604

34426451460 has 96 divisors (see below), whose sum is σ = 102155582592. Its totient is φ = 8632637440.

The previous prime is 34426451453. The next prime is 34426451471. The reversal of 34426451460 is 6415462443.

It is a super-2 number, since 2×344264514602 (a number of 22 digits) contains 22 as substring.

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, 1171750 + ... + 1200770.

It is an arithmetic number, because the mean of its divisors is an integer number (1064120652).

Almost surely, 234426451460 is an apocalyptic number.

34426451460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34426451460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51077791296).

34426451460 is an abundant number, since it is smaller than the sum of its proper divisors (67729131132).

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

34426451460 is a wasteful number, since it uses less digits than its factorization.

34426451460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30213 (or 30211 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 34426451460 in words is "thirty-four billion, four hundred twenty-six million, four hundred fifty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1163 2326 3489 4652 5815 6978 11630 13956 17445 19771 23260 29021 34890 39542 58042 59313 69780 79084 87063 98855 116084 118626 145105 174126 197710 237252 290210 296565 348252 395420 435315 493357 580420 593130 870630 986714 1186260 1480071 1741260 1973428 2466785 2960142 4933570 5920284 7400355 9867140 14800710 29601420 33751423 67502846 101254269 135005692 168757115 202508538 337514230 405017076 506271345 573774191 675028460 1012542690 1147548382 1721322573 2025085380 2295096764 2868870955 3442645146 5737741910 6885290292 8606612865 11475483820 17213225730 34426451460