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34346364540 = 22351571364379
BaseRepresentation
bin11111111111001100…
…111110111001111100
310021122122202002122120
4133333030332321330
51030320132131130
623440053442540
72324064165405
oct377714767174
9107578662576
1034346364540
111362569a044
1267a6640450
133314999037
14193b7a09ac
15d604ba910
hex7ff33ee7c

34346364540 has 48 divisors (see below), whose sum is σ = 96231300480. Its totient is φ = 9153175360.

The previous prime is 34346364539. The next prime is 34346364649. The reversal of 34346364540 is 4546364343.

It is a happy number.

It is a super-2 number, since 2×343463645402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34346364492 and 34346364501.

It is a congruent number.

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, 87930 + ... + 276449.

It is an arithmetic number, because the mean of its divisors is an integer number (2004818760).

Almost surely, 234346364540 is an apocalyptic number.

34346364540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34346364540 is an abundant number, since it is smaller than the sum of its proper divisors (61884935940).

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

34346364540 is a wasteful number, since it uses less digits than its factorization.

34346364540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365962 (or 365960 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

The spelling of 34346364540 in words is "thirty-four billion, three hundred forty-six million, three hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1571 3142 4713 6284 7855 9426 15710 18852 23565 31420 47130 94260 364379 728758 1093137 1457516 1821895 2186274 3643790 4372548 5465685 7287580 10931370 21862740 572439409 1144878818 1717318227 2289757636 2862197045 3434636454 5724394090 6869272908 8586591135 11448788180 17173182270 34346364540