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34327077312 = 2631153449683
BaseRepresentation
bin11111111110000011…
…011010000111000000
310021121022110012112210
4133332003122013000
51030300212433222
623434124222120
72323441225413
oct377603320700
9107538405483
1034327077312
1113615816290
1267a009a940
1333109a5188
141938dbdb7a
15d5d95ad0c
hex7fe0da1c0

34327077312 has 224 divisors, whose sum is σ = 101322835200. Its totient is φ = 10168238080.

The previous prime is 34327077307. The next prime is 34327077313. The reversal of 34327077312 is 21377072343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34327077313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50258923 + ... + 50259605.

Almost surely, 234327077312 is an apocalyptic number.

34327077312 is a gapful number since it is divisible by the number (32) 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 34327077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50661417600).

34327077312 is an abundant number, since it is smaller than the sum of its proper divisors (66995757888).

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

34327077312 is a wasteful number, since it uses less digits than its factorization.

34327077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 39.

The spelling of 34327077312 in words is "thirty-four billion, three hundred twenty-seven million, seventy-seven thousand, three hundred twelve".