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1149505344 = 26341337461
BaseRepresentation
bin100010010000100…
…0000111101000000
32222002222220220000
41010201000331000
54323233132334
6310021520000
740325430351
oct10441007500
92862886800
101149505344
1153a958419
12280b73000
131541c4ba0
14ac947d28
156adb4299
hex44840f40

1149505344 has 280 divisors, whose sum is σ = 3776962728. Its totient is φ = 343388160.

The previous prime is 1149505309. The next prime is 1149505351. The reversal of 1149505344 is 4435059411.

It is a happy number.

1149505344 is a `hidden beast` number, since 1 + 149 + 505 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 122943744 + 1026561600 = 11088^2 + 32040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1149505299 and 1149505308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2493274 + ... + 2493734.

Almost surely, 21149505344 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 1149505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888481364).

1149505344 is an abundant number, since it is smaller than the sum of its proper divisors (2627457384).

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

1149505344 is a wasteful number, since it uses less digits than its factorization.

1149505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1149505344 is about 33904.3558263536. The cubic root of 1149505344 is about 1047.5393154190.

The spelling of 1149505344 in words is "one billion, one hundred forty-nine million, five hundred five thousand, three hundred forty-four".