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830708736 = 210311133161
BaseRepresentation
bin110001100000111…
…001110000000000
32010220010101011020
4301200321300000
53200130134421
6214232545440
726404623234
oct6140716000
92126111136
10830708736
11396a05850
121b2252280
13103145640
147c4805c4
154cde0dc6
hex31839c00

830708736 has 352 divisors, whose sum is σ = 2729158656. Its totient is φ = 221184000.

The previous prime is 830708693. The next prime is 830708743. The reversal of 830708736 is 637807038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13618146 + ... + 13618206.

Almost surely, 2830708736 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 830708736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364579328).

830708736 is an abundant number, since it is smaller than the sum of its proper divisors (1898449920).

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

830708736 is a wasteful number, since it uses less digits than its factorization.

830708736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 830708736 is about 28822.0182499422. The cubic root of 830708736 is about 940.0470536277.

It can be divided in two parts, 83070 and 8736, that added together give a triangular number (91806 = T428).

The spelling of 830708736 in words is "eight hundred thirty million, seven hundred eight thousand, seven hundred thirty-six".