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1349164544 = 29713231259
BaseRepresentation
bin101000001101010…
…1001111000000000
310111000200122211012
41100122221320000
510230341231134
6341513140052
745301465220
oct12032517000
93430618735
101349164544
11632628322
123179ba628
13186690020
14cb27c080
157d6a26ce
hex506a9e00

1349164544 has 160 divisors (see below), whose sum is σ = 3464778240. Its totient is φ = 510124032.

The previous prime is 1349164541. The next prime is 1349164577. The reversal of 1349164544 is 4454619431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349164541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070987 + ... + 1072245.

It is an arithmetic number, because the mean of its divisors is an integer number (21654864).

Almost surely, 21349164544 is an apocalyptic number.

1349164544 is a gapful number since it is divisible by the number (14) 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 1349164544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732389120).

1349164544 is an abundant number, since it is smaller than the sum of its proper divisors (2115613696).

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

1349164544 is a wasteful number, since it uses less digits than its factorization.

1349164544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1304 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 1349164544 is about 36730.9752661157. The cubic root of 1349164544 is about 1104.9814139363.

The spelling of 1349164544 in words is "one billion, three hundred forty-nine million, one hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 182 184 208 224 256 299 322 364 368 416 448 512 598 644 728 736 832 896 1196 1259 1288 1456 1472 1664 1792 2093 2392 2518 2576 2912 2944 3328 3584 4186 4784 5036 5152 5824 5888 6656 8372 8813 9568 10072 10304 11648 11776 16367 16744 17626 19136 20144 20608 23296 28957 32734 33488 35252 38272 40288 41216 46592 57914 65468 66976 70504 76544 80576 82432 114569 115828 130936 133952 141008 153088 161152 202699 229138 231656 261872 267904 282016 322304 376441 405398 458276 463312 523744 535808 564032 644608 752882 810796 916552 926624 1047488 1071616 1128064 1505764 1621592 1833104 1853248 2094976 2256128 2635087 3011528 3243184 3666208 3706496 4189952 4512256 5270174 6023056 6486368 7332416 7412992 8379904 10540348 12046112 12972736 14664832 14825984 21080696 24092224 25945472 29329664 42161392 48184448 51890944 58659328 84322784 96368896 103781888 168645568 192737792 337291136 674582272 1349164544