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34236694128 = 2437131731107139
BaseRepresentation
bin11111111000101010…
…100111111001110000
310021101000101021010110
4133320222213321300
51030104043203003
623421135101320
72321263045530
oct377052477160
9107330337113
1034236694128
11135797a303a
126775971840
1332c804a9c0
14192adb34c0
15d55a55a03
hex7f8aa7e70

34236694128 has 640 divisors, whose sum is σ = 120952258560. Its totient is φ = 8088698880.

The previous prime is 34236694081. The next prime is 34236694139. The reversal of 34236694128 is 82149663243.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 246307083 + ... + 246307221.

It is an arithmetic number, because the mean of its divisors is an integer number (188987904).

Almost surely, 234236694128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34236694128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60476129280).

34236694128 is an abundant number, since it is smaller than the sum of its proper divisors (86715564432).

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

34236694128 is a wasteful number, since it uses less digits than its factorization.

34236694128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 34236694128 in words is "thirty-four billion, two hundred thirty-six million, six hundred ninety-four thousand, one hundred twenty-eight".