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34220610004 = 2272891961741
BaseRepresentation
bin11111110111101101…
…010001000111010100
310021022220010002212011
4133313231101013110
51030040434010004
623415402234004
72321006246200
oct376755210724
9107286102764
1034220610004
1113570707879
1267704b5904
1332c4908a79
141928bc7b00
15d5442a004
hex7f7b511d4

34220610004 has 36 divisors (see below), whose sum is σ = 70446155220. Its totient is φ = 14501182080.

The previous prime is 34220609999. The next prime is 34220610019. The reversal of 34220610004 is 40001602243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13600224400 + 20620385604 = 116620^2 + 143598^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963427 + ... + 998314.

It is an arithmetic number, because the mean of its divisors is an integer number (1956837645).

Almost surely, 234220610004 is an apocalyptic number.

It is an amenable number.

34220610004 is an abundant number, since it is smaller than the sum of its proper divisors (36225545216).

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

34220610004 is a wasteful number, since it uses less digits than its factorization.

34220610004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961848 (or 1961839 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 34220610004 in words is "thirty-four billion, two hundred twenty million, six hundred ten thousand, four".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 2492 4361 8722 17444 1961741 3923482 7846964 13732187 27464374 54928748 96125309 174594949 192250618 349189898 384501236 698379796 1222164643 2444329286 4888658572 8555152501 17110305002 34220610004