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34460131840 = 29513460989
BaseRepresentation
bin100000000101111110…
…111110001000000000
310021221120211002001021
4200011332332020000
51031033243204330
623455240115224
72326645200451
oct400576761000
9107846732037
1034460131840
1113683934102
126818765b14
133332420074
14194c937128
15d6a48e67a
hex805fbe200

34460131840 has 40 divisors (see below), whose sum is σ = 82623556620. Its totient is φ = 13784051712.

The previous prime is 34460131817. The next prime is 34460131841. The reversal of 34460131840 is 4813106443.

It can be written as a sum of positive squares in 2 ways, for example, as 33404141824 + 1055990016 = 182768^2 + 32496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34460131796 and 34460131805.

It is not an unprimeable number, because it can be changed into a prime (34460131841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6727935 + ... + 6733054.

Almost surely, 234460131840 is an apocalyptic number.

It is an amenable number.

34460131840 is an abundant number, since it is smaller than the sum of its proper divisors (48163424780).

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

34460131840 is an equidigital number, since it uses as much as digits as its factorization.

34460131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13461012 (or 13460996 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 34460131840 in words is "thirty-four billion, four hundred sixty million, one hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 13460989 26921978 53843956 67304945 107687912 134609890 215375824 269219780 430751648 538439560 861503296 1076879120 1723006592 2153758240 3446013184 4307516480 6892026368 8615032960 17230065920 34460131840