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34089406794 = 234297256153
BaseRepresentation
bin11111101111111000…
…110001000101001010
310020222202020021220000
4133233320301011022
51024303342004134
623354354143430
72314524114432
oct375770610512
9106882207800
1034089406794
1113503643973
126734581b76
1332a368b731
1419155d32c2
15d47b5ee99
hex7efe3114a

34089406794 has 40 divisors (see below), whose sum is σ = 79019517060. Its totient is φ = 10971301824.

The previous prime is 34089406787. The next prime is 34089406807. The reversal of 34089406794 is 49760498043.

It is a happy number.

34089406794 is a `hidden beast` number, since 3 + 408 + 94 + 0 + 67 + 94 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31451249025 + 2638157769 = 177345^2 + 51363^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34089406794.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3623379 + ... + 3632774.

Almost surely, 234089406794 is an apocalyptic number.

34089406794 is an abundant number, since it is smaller than the sum of its proper divisors (44930110266).

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

34089406794 is a wasteful number, since it uses less digits than its factorization.

34089406794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7256196 (or 7256187 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 34089406794 in words is "thirty-four billion, eighty-nine million, four hundred six thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 7256153 14512306 21768459 43536918 65305377 130610754 195916131 210428437 391832262 420856874 587748393 631285311 1175496786 1262570622 1893855933 3787711866 5681567799 11363135598 17044703397 34089406794