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34220606460 = 22355310761197
BaseRepresentation
bin11111110111101101…
…010000001111111100
310021022220002220222220
4133313231100033330
51030040433401320
623415402205340
72321006232645
oct376755201774
9107286086886
1034220606460
1113570705147
1267704b3850
1332c4907281
141928bc66cc
15d54428e40
hex7f7b503fc

34220606460 has 48 divisors (see below), whose sum is σ = 97625588256. Its totient is φ = 8953315072.

The previous prime is 34220606449. The next prime is 34220606503. The reversal of 34220606460 is 6460602243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5377419 + ... + 5383778.

It is an arithmetic number, because the mean of its divisors is an integer number (2033866422).

Almost surely, 234220606460 is an apocalyptic number.

34220606460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34220606460 is an abundant number, since it is smaller than the sum of its proper divisors (63404981796).

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

34220606460 is a wasteful number, since it uses less digits than its factorization.

34220606460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10761262 (or 10761260 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 34220606460 in words is "thirty-four billion, two hundred twenty million, six hundred six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 10761197 21522394 32283591 43044788 53805985 64567182 107611970 129134364 161417955 215223940 322835910 570343441 645671820 1140686882 1711030323 2281373764 2851717205 3422060646 5703434410 6844121292 8555151615 11406868820 17110303230 34220606460