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1164464424 = 23342324379
BaseRepresentation
bin100010101101000…
…0101000100101000
310000011010220220000
41011122011010220
54341100330144
6311314303000
740566533004
oct10532050450
93004126800
101164464424
115483453a2
12285b87a60
13157331a06
14b091d704
156c36b769
hex45685128

1164464424 has 240 divisors, whose sum is σ = 3533006400. Its totient is φ = 358053696.

The previous prime is 1164464423. The next prime is 1164464429. The reversal of 1164464424 is 4244644611.

1164464424 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 4 + 644 + 2 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1164464423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14740017 + ... + 14740095.

It is an arithmetic number, because the mean of its divisors is an integer number (14720860).

Almost surely, 21164464424 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 1164464424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766503200).

1164464424 is an abundant number, since it is smaller than the sum of its proper divisors (2368541976).

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

1164464424 is a wasteful number, since it uses less digits than its factorization.

1164464424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 150 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 1164464424 is about 34124.2497939515. The cubic root of 1164464424 is about 1052.0637939792.

The spelling of 1164464424 in words is "one billion, one hundred sixty-four million, four hundred sixty-four thousand, four hundred twenty-four".