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1134843840 = 2632513171783
BaseRepresentation
bin100001110100100…
…0101011111000000
32221002102001002100
41003221011133000
54311010000330
6304335350400
740060004424
oct10351053700
92832361070
101134843840
11532653a79
12278082400
13151160640
14aaa0cb84
156996a060
hex43a457c0

1134843840 has 336 divisors, whose sum is σ = 4453420608. Its totient is φ = 262766592.

The previous prime is 1134843767. The next prime is 1134843841. The reversal of 1134843840 is 483484311.

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 = 1134843795 and 1134843804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134843841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 635589 + ... + 637371.

It is an arithmetic number, because the mean of its divisors is an integer number (13254228).

Almost surely, 21134843840 is an apocalyptic number.

1134843840 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 1134843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226710304).

1134843840 is an abundant number, since it is smaller than the sum of its proper divisors (3318576768).

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

1134843840 is a wasteful number, since it uses less digits than its factorization.

1134843840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1134843840 is about 33687.4433580229. The cubic root of 1134843840 is about 1043.0665898561.

The spelling of 1134843840 in words is "one billion, one hundred thirty-four million, eight hundred forty-three thousand, eight hundred forty".