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1349991360 = 26385643
BaseRepresentation
bin101000001110111…
…0011101111000000
310111002020200000000
41100131303233000
510231044210420
6341543000000
745311510604
oct12035635700
93432220000
101349991360
11633042543
12318139000
131868bc473
14cb415504
157d7b7690
hex50773bc0

1349991360 has 252 divisors, whose sum is σ = 4829254248. Its totient is φ = 359437824.

The previous prime is 1349991359. The next prime is 1349991397. The reversal of 1349991360 is 631999431.

1349991360 is a `hidden beast` number, since 13 + 499 + 91 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2099199 + ... + 2099841.

Almost surely, 21349991360 is an apocalyptic number.

1349991360 is a gapful number since it is divisible by the number (10) 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 1349991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414627124).

1349991360 is an abundant number, since it is smaller than the sum of its proper divisors (3479262888).

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

1349991360 is an frugal number, since it uses more digits than its factorization.

1349991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 1349991360 is about 36742.2285660519. The cubic root of 1349991360 is about 1105.2070918069.

The spelling of 1349991360 in words is "one billion, three hundred forty-nine million, nine hundred ninety-one thousand, three hundred sixty".