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1144664352 = 253313223457
BaseRepresentation
bin100010000111010…
…0011000100100000
32221202212222022000
41010032203010200
54321013224402
6305330044000
740236325566
oct10416430440
92852788260
101144664352
115381512a7
1227b419600
131531bb5b0
14ac047a36
156a759c1c
hex443a3120

1144664352 has 192 divisors, whose sum is σ = 3619445760. Its totient is φ = 349857792.

The previous prime is 1144664351. The next prime is 1144664377. The reversal of 1144664352 is 2534664411.

1144664352 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 6 + 643 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1144664351) 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, 2504508 + ... + 2504964.

It is an arithmetic number, because the mean of its divisors is an integer number (18851280).

Almost surely, 21144664352 is an apocalyptic number.

1144664352 is a gapful number since it is divisible by the number (12) 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 1144664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809722880).

1144664352 is an abundant number, since it is smaller than the sum of its proper divisors (2474781408).

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

1144664352 is a wasteful number, since it uses less digits than its factorization.

1144664352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 698 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1144664352 is about 33832.8886144828. Note that the first 3 decimals coincide. The cubic root of 1144664352 is about 1046.0667211491.

The spelling of 1144664352 in words is "one billion, one hundred forty-four million, six hundred sixty-four thousand, three hundred fifty-two".