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34243515140 = 22517820912269
BaseRepresentation
bin11111111001000100…
…101001001100000100
310021101111012210210112
4133321010221030010
51030112314441030
623421541212152
72321405035052
oct377104511404
9107344183715
1034243515140
111358263183a
126778101058
1332c95985c3
14192bc6b1d2
15d56451a95
hex7f9129304

34243515140 has 48 divisors (see below), whose sum is σ = 76156945200. Its totient is φ = 12889055232.

The previous prime is 34243515121. The next prime is 34243515181. The reversal of 34243515140 is 4151534243.

It can be written as a sum of positive squares in 8 ways, for example, as 290293444 + 33953221696 = 17038^2 + 184264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34243515097 and 34243515106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2784926 + ... + 2797194.

It is an arithmetic number, because the mean of its divisors is an integer number (1586603025).

Almost surely, 234243515140 is an apocalyptic number.

It is an amenable number.

34243515140 is an abundant number, since it is smaller than the sum of its proper divisors (41913430060).

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

34243515140 is a wasteful number, since it uses less digits than its factorization.

34243515140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20504 (or 20502 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 34243515140 in words is "thirty-four billion, two hundred forty-three million, five hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 8209 12269 16418 24538 32836 41045 49076 61345 82090 122690 139553 164180 208573 245380 279106 417146 558212 697765 834292 1042865 1395530 2085730 2791060 4171460 100716221 201432442 402864884 503581105 1007162210 1712175757 2014324420 3424351514 6848703028 8560878785 17121757570 34243515140