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1134546816 = 273131729461
BaseRepresentation
bin100001110011111…
…1100111110000000
32221001211221122110
41003213330332000
54310420444231
6304325135320
740054326444
oct10347747600
92831757573
101134546816
115324708a7
12277b5a540
131510883a0
14aa972824
156990c046
hex439fcf80

1134546816 has 256 divisors, whose sum is σ = 3562574400. Its totient is φ = 316538880.

The previous prime is 1134546811. The next prime is 1134546851. The reversal of 1134546816 is 6186454311.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134546811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2460826 + ... + 2461286.

Almost surely, 21134546816 is an apocalyptic number.

1134546816 is a gapful number since it is divisible by the number (16) 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 1134546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781287200).

1134546816 is an abundant number, since it is smaller than the sum of its proper divisors (2428027584).

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

1134546816 is a wasteful number, since it uses less digits than its factorization.

1134546816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 1134546816 is about 33683.0345426299. The cubic root of 1134546816 is about 1042.9755809045.

The spelling of 1134546816 in words is "one billion, one hundred thirty-four million, five hundred forty-six thousand, eight hundred sixteen".