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1143484704 = 253237107309
BaseRepresentation
bin100010000101000…
…0011000100100000
32221200200001010100
41010022003010200
54320213002304
6305244502400
740223313435
oct10412030440
92850601110
101143484704
11537515a8a
1227ab4aa00
13152b9768b
14abc1bb8c
156a5c5439
hex44283120

1143484704 has 72 divisors (see below), whose sum is σ = 3339701820. Its totient is φ = 370856448.

The previous prime is 1143484697. The next prime is 1143484709. The reversal of 1143484704 is 4074843411.

It is a happy number.

1143484704 is a `hidden beast` number, since 1 + 143 + 48 + 470 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1141088400 + 2396304 = 33780^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (1143484709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42999 + ... + 64310.

Almost surely, 21143484704 is an apocalyptic number.

It is an amenable number.

1143484704 is an abundant number, since it is smaller than the sum of its proper divisors (2196217116).

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

1143484704 is a wasteful number, since it uses less digits than its factorization.

1143484704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107362 (or 107351 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1143484704 is about 33815.4506697752. The cubic root of 1143484704 is about 1045.7072519715.

The spelling of 1143484704 in words is "one billion, one hundred forty-three million, four hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 107309 214618 321927 429236 643854 858472 965781 1287708 1716944 1931562 2575416 3433888 3863124 3970433 5150832 7726248 7940866 10301664 11911299 15452496 15881732 23822598 30904992 31763464 35733897 47645196 63526928 71467794 95290392 127053856 142935588 190580784 285871176 381161568 571742352 1143484704