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34792924014 = 2322298440787
BaseRepresentation
bin100000011001110100…
…011110001101101110
310022210210000200002100
4200121310132031232
51032223442032024
623552245035530
72341125655152
oct403164361556
9108723020070
1034792924014
1113834775862
1268b00b5ba6
13338635ca04
141980c05062
15d897c97c9
hex819d1e36e

34792924014 has 24 divisors (see below), whose sum is σ = 75713868360. Its totient is φ = 11546995248.

The previous prime is 34792924009. The next prime is 34792924027. The reversal of 34792924014 is 41042929743.

34792924014 is a `hidden beast` number, since 347 + 9 + 292 + 4 + 0 + 14 = 666.

34792924014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×347929240142 (a number of 22 digits) contains 22 as substring.

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, 4216272 + ... + 4224515.

It is an arithmetic number, because the mean of its divisors is an integer number (3154744515).

Almost surely, 234792924014 is an apocalyptic number.

34792924014 is an abundant number, since it is smaller than the sum of its proper divisors (40920944346).

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

34792924014 is a wasteful number, since it uses less digits than its factorization.

34792924014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8441024 (or 8441021 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34792924014 in words is "thirty-four billion, seven hundred ninety-two million, nine hundred twenty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 229 458 687 1374 2061 4122 8440787 16881574 25322361 50644722 75967083 151934166 1932940223 3865880446 5798820669 11597641338 17396462007 34792924014