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1134730944 = 26342331307
BaseRepresentation
bin100001110100010…
…1001111011000000
32221002012022020000
41003220221323000
54310442342234
6304333120000
740056024324
oct10350517300
92832168200
101134730944
11532587176
12278029000
13151121139
14aa9bd984
1569946899
hex43a29ec0

1134730944 has 280 divisors, whose sum is σ = 3634971648. Its totient is φ = 348986880.

The previous prime is 1134730897. The next prime is 1134730963. The reversal of 1134730944 is 4490374311.

1134730944 is a `hidden beast` number, since 1 + 1 + 347 + 309 + 4 + 4 = 666.

It is a super-2 number, since 2×11347309442 = 2575228630542262272, which contains 22 as substring.

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 = 1134730899 and 1134730908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3696039 + ... + 3696345.

Almost surely, 21134730944 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 1134730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817485824).

1134730944 is an abundant number, since it is smaller than the sum of its proper divisors (2500240704).

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

1134730944 is a wasteful number, since it uses less digits than its factorization.

1134730944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1134730944 is about 33685.7676771660. The cubic root of 1134730944 is about 1043.0320000894.

The spelling of 1134730944 in words is "one billion, one hundred thirty-four million, seven hundred thirty thousand, nine hundred forty-four".