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1064026314 = 2331343101349
BaseRepresentation
bin111111011010111…
…100000011001010
32202011011010201000
4333122330003022
54134342320224
6253325435430
735240034351
oct7732740312
92664133630
101064026314
114a668479a
1225840bb76
1313c596990
14a1456998
156362c0c9
hex3f6bc0ca

1064026314 has 128 divisors (see below), whose sum is σ = 2638944000. Its totient is φ = 315705600.

The previous prime is 1064026309. The next prime is 1064026321. The reversal of 1064026314 is 4136204601.

1064026314 is a `hidden beast` number, since 1 + 0 + 640 + 2 + 6 + 3 + 14 = 666.

It is a super-2 number, since 2×10640263142 = 2264303993768853192, which contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 3048612 + ... + 3048960.

It is an arithmetic number, because the mean of its divisors is an integer number (20616750).

Almost surely, 21064026314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064026314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319472000).

1064026314 is an abundant number, since it is smaller than the sum of its proper divisors (1574917686).

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

1064026314 is a wasteful number, since it uses less digits than its factorization.

1064026314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1064026314 is about 32619.4162118208. The cubic root of 1064026314 is about 1020.9021603077.

The spelling of 1064026314 in words is "one billion, sixty-four million, twenty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 101 117 129 202 234 258 303 349 351 387 559 606 698 702 774 909 1047 1118 1161 1313 1677 1818 2094 2322 2626 2727 3141 3354 3939 4343 4537 5031 5454 6282 7878 8686 9074 9423 10062 11817 13029 13611 15007 15093 18846 23634 26058 27222 30014 30186 35249 35451 39087 40833 45021 56459 70498 70902 78174 81666 90042 105747 112918 117261 122499 135063 169377 195091 211494 234522 244998 270126 317241 338754 390182 405189 458237 508131 585273 634482 810378 916474 951723 1016262 1170546 1374711 1515707 1524393 1755819 1903446 2749422 3031414 3048786 3511638 4124133 4547121 5267457 8248266 9094242 10534914 12372399 13641363 19704191 24744798 27282726 39408382 40924089 59112573 81848178 118225146 177337719 354675438 532013157 1064026314