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1059424344 = 23321119233061
BaseRepresentation
bin111111001001011…
…000100001011000
32201211111022222200
4333021120201120
54132203034334
6253043050200
735152646466
oct7711304130
92654438880
101059424344
114a4021210
12256970960
1313b645114
14a09b9836
156301d799
hex3f258858

1059424344 has 192 divisors, whose sum is σ = 3439238400. Its totient is φ = 290822400.

The previous prime is 1059424339. The next prime is 1059424361. The reversal of 1059424344 is 4434249501.

1059424344 = T181 + T182 + ... + T1852.

1059424344 is a `hidden beast` number, since 1 + 0 + 594 + 24 + 3 + 44 = 666.

It is a super-2 number, since 2×10594243442 = 2244759881319660672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1059424299 and 1059424308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344574 + ... + 347634.

It is an arithmetic number, because the mean of its divisors is an integer number (17912700).

Almost surely, 21059424344 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 1059424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719619200).

1059424344 is an abundant number, since it is smaller than the sum of its proper divisors (2379814056).

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

1059424344 is a wasteful number, since it uses less digits than its factorization.

1059424344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1059424344 is about 32548.7994248636. The cubic root of 1059424344 is about 1019.4282147108.

The spelling of 1059424344 in words is "one billion, fifty-nine million, four hundred twenty-four thousand, three hundred forty-four".