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1130744340 = 22335111943233
BaseRepresentation
bin100001101100101…
…1100101000010100
32220210200202122000
41003121130220110
54303432304330
6304111435300
740010111505
oct10331345024
92823622560
101130744340
11530303a60
12276825b30
131503566bb
14aa262bac
156940a560
hex4365ca14

1130744340 has 384 divisors, whose sum is σ = 4151347200. Its totient is φ = 252564480.

The previous prime is 1130744339. The next prime is 1130744353. The reversal of 1130744340 is 434470311.

1130744340 is a `hidden beast` number, since 11 + 307 + 4 + 4 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4852864 + ... + 4853096.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 21130744340 is an apocalyptic number.

1130744340 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 1130744340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075673600).

1130744340 is an abundant number, since it is smaller than the sum of its proper divisors (3020602860).

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

1130744340 is a wasteful number, since it uses less digits than its factorization.

1130744340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1130744340 is about 33626.5421951172. The cubic root of 1130744340 is about 1041.8090862196.

The spelling of 1130744340 in words is "one billion, one hundred thirty million, seven hundred forty-four thousand, three hundred forty".