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1349594244 = 2233193311987
BaseRepresentation
bin101000001110001…
…0010110010000100
310111001111111021000
41100130102302010
510230444003434
6341530253300
745305235045
oct12034226204
93431444230
101349594244
116328a1149
12317b87230
131867b079b
14cb3508cc
157d739b99
hex50712c84

1349594244 has 96 divisors (see below), whose sum is σ = 3696089600. Its totient is φ = 424686240.

The previous prime is 1349594221. The next prime is 1349594273. The reversal of 1349594244 is 4424959431.

1349594244 is a `hidden beast` number, since 1 + 34 + 9 + 594 + 24 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1349594244.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 678219 + ... + 680205.

Almost surely, 21349594244 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 1349594244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848044800).

1349594244 is an abundant number, since it is smaller than the sum of its proper divisors (2346495356).

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

1349594244 is a wasteful number, since it uses less digits than its factorization.

1349594244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2342 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1349594244 is about 36736.8240870111. The cubic root of 1349594244 is about 1105.0987112461.

The spelling of 1349594244 in words is "one billion, three hundred forty-nine million, five hundred ninety-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 331 342 513 662 684 993 1026 1324 1986 1987 2052 2979 3972 3974 5958 5961 6289 7948 8937 11916 11922 12578 17874 17883 18867 23844 25156 35748 35766 37734 37753 53649 56601 71532 75468 75506 107298 113202 113259 151012 169803 214596 226404 226518 339606 339777 453036 657697 679212 679554 1019331 1315394 1359108 1973091 2038662 2630788 3946182 4077324 5919273 7892364 11838546 12496243 17757819 23677092 24992486 35515638 37488729 49984972 71031276 74977458 112466187 149954916 224932374 337398561 449864748 674797122 1349594244