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1058834268 = 22344577151
BaseRepresentation
bin111111000111001…
…000011101011100
32201210101100120000
4333013020131130
54132030144033
6253022254300
735144641242
oct7707103534
92653340500
101058834268
114a3758948
12256727390
1313b49966b
14a08a4792
1562e53a13
hex3f1c875c

1058834268 has 60 divisors (see below), whose sum is σ = 2774446752. Its totient is φ = 352123200.

The previous prime is 1058834251. The next prime is 1058834311. The reversal of 1058834268 is 8624388501.

1058834268 is a `hidden beast` number, since 1 + 0 + 588 + 3 + 4 + 2 + 68 = 666.

It is a super-2 number, since 2×10588342682 = 2242260014182191648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144493 + ... + 151643.

Almost surely, 21058834268 is an apocalyptic number.

1058834268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058834268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387223376).

1058834268 is an abundant number, since it is smaller than the sum of its proper divisors (1715612484).

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

1058834268 is a wasteful number, since it uses less digits than its factorization.

1058834268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1058834268 is about 32539.7336805328. The cubic root of 1058834268 is about 1019.2389132149.

The spelling of 1058834268 in words is "one billion, fifty-eight million, eight hundred thirty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 457 914 1371 1828 2742 4113 5484 7151 8226 12339 14302 16452 21453 24678 28604 37017 42906 49356 64359 74034 85812 128718 148068 193077 257436 386154 579231 772308 1158462 2316924 3268007 6536014 9804021 13072028 19608042 29412063 39216084 58824126 88236189 117648252 176472378 264708567 352944756 529417134 1058834268