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835338816 = 263213281397
BaseRepresentation
bin110001110010100…
…100001001000000
32011012211121102200
4301302210021000
53202321320231
6214520113200
726462156064
oct6162441100
92135747380
10835338816
11399588464
121b3905800
131040a6c30
147cd27aa4
154d507be6
hex31ca4240

835338816 has 168 divisors, whose sum is σ = 2594222904. Its totient is φ = 255467520.

The previous prime is 835338773. The next prime is 835338821. The reversal of 835338816 is 618833538.

It can be written as a sum of positive squares in 4 ways, for example, as 111513600 + 723825216 = 10560^2 + 26904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2103930 + ... + 2104326.

It is an arithmetic number, because the mean of its divisors is an integer number (15441803).

Almost surely, 2835338816 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 835338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297111452).

835338816 is an abundant number, since it is smaller than the sum of its proper divisors (1758884088).

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

835338816 is a wasteful number, since it uses less digits than its factorization.

835338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 696 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 835338816 is about 28902.2285645934. The cubic root of 835338816 is about 941.7903166976.

The spelling of 835338816 in words is "eight hundred thirty-five million, three hundred thirty-eight thousand, eight hundred sixteen".