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1144920384 = 26321987709
BaseRepresentation
bin100010000111110…
…0001100101000000
32221210100222111200
41010033201211000
54321044423014
6305335341200
740241443206
oct10417414500
92853328450
101144920384
115383066a3
1227b521800
1315327acaa
14ac0b3076
156a7aaa09
hex443e1940

1144920384 has 42 divisors (see below), whose sum is σ = 3281709210. Its totient is φ = 381639936.

The previous prime is 1144920353. The next prime is 1144920389. The reversal of 1144920384 is 4830294411.

It is a happy number.

1144920384 is a `hidden beast` number, since 1 + 1 + 449 + 203 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1124126784 + 20793600 = 33528^2 + 4560^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144920389) 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 5 ways as a sum of consecutive naturals, for example, 993279 + ... + 994430.

Almost surely, 21144920384 is an apocalyptic number.

It is an amenable number.

1144920384 is an abundant number, since it is smaller than the sum of its proper divisors (2136788826).

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

1144920384 is a wasteful number, since it uses less digits than its factorization.

1144920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987727 (or 1987714 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1144920384 is about 33836.6721767966. The cubic root of 1144920384 is about 1046.1447080827.

The spelling of 1144920384 in words is "one billion, one hundred forty-four million, nine hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1987709 3975418 5963127 7950836 11926254 15901672 17889381 23852508 31803344 35778762 47705016 63606688 71557524 95410032 127213376 143115048 190820064 286230096 381640128 572460192 1144920384