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34256330136 = 2335719472819
BaseRepresentation
bin11111111001110101…
…100001110110011000
310021102101022212200000
4133321311201312120
51030124110031021
623423120013000
72321622000420
oct377165416630
9107371285600
1034256330136
1113589894946
126780461160
1332cc134542
14192d845480
15d57633b26
hex7f9d61d98

34256330136 has 384 divisors, whose sum is σ = 118250496000. Its totient is φ = 9071885952.

The previous prime is 34256330113. The next prime is 34256330177. The reversal of 34256330136 is 63103365243.

34256330136 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 633 + 0 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34256330136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12150535 + ... + 12153353.

It is an arithmetic number, because the mean of its divisors is an integer number (307944000).

Almost surely, 234256330136 is an apocalyptic number.

34256330136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34256330136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59125248000).

34256330136 is an abundant number, since it is smaller than the sum of its proper divisors (83994165864).

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

34256330136 is a wasteful number, since it uses less digits than its factorization.

34256330136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 34256330136 its reverse (63103365243), we get a palindrome (97359695379).

The spelling of 34256330136 in words is "thirty-four billion, two hundred fifty-six million, three hundred thirty thousand, one hundred thirty-six".