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830238360 = 23357323877
BaseRepresentation
bin110001011111000…
…110111010011000
32010212020110220220
4301133012322120
53200020111420
6214214520040
726400624000
oct6137067230
92125213826
10830238360
11396714406
121b2066020
1310300c503
147c39b000
154cd4b840
hex317c6e98

830238360 has 256 divisors, whose sum is σ = 3034368000. Its totient is φ = 181310976.

The previous prime is 830238347. The next prime is 830238371. The reversal of 830238360 is 63832038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 946242 + ... + 947118.

It is an arithmetic number, because the mean of its divisors is an integer number (11853000).

Almost surely, 2830238360 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 830238360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517184000).

830238360 is an abundant number, since it is smaller than the sum of its proper divisors (2204129640).

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

830238360 is a wasteful number, since it uses less digits than its factorization.

830238360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 830238360 is about 28813.8570830078. The cubic root of 830238360 is about 939.8695910834.

The spelling of 830238360 in words is "eight hundred thirty million, two hundred thirty-eight thousand, three hundred sixty".