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811340442 = 233111678179
BaseRepresentation
bin110000010111000…
…001001010011010
32002112200100212000
4300113001022122
53130200343232
6212301501430
726051165013
oct6027011232
92075610760
10811340442
11386a870a0
121a7871876
13cc123903
1479a7c00a
154b36727c
hex305c129a

811340442 has 64 divisors (see below), whose sum is σ = 1978905600. Its totient is φ = 244358640.

The previous prime is 811340429. The next prime is 811340459. The reversal of 811340442 is 244043118.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 95109 + ... + 103287.

It is an arithmetic number, because the mean of its divisors is an integer number (30920400).

Almost surely, 2811340442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811340442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989452800).

811340442 is an abundant number, since it is smaller than the sum of its proper divisors (1167565158).

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

811340442 is a wasteful number, since it uses less digits than its factorization.

811340442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 811340442 is about 28484.0383723938. The cubic root of 811340442 is about 932.6836739494.

The spelling of 811340442 in words is "eight hundred eleven million, three hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 501 594 1002 1503 1837 3006 3674 4509 5511 8179 9018 11022 16358 16533 24537 33066 49074 49599 73611 89969 99198 147222 179938 220833 269907 441666 539814 809721 1365893 1619442 2429163 2731786 4097679 4858326 8195358 12293037 15024823 24586074 30049646 36879111 45074469 73758222 90148938 135223407 270446814 405670221 811340442