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1144304 = 24717601
BaseRepresentation
bin100010111010111110000
32011010200122
410113113300
5243104204
640305412
712504110
oct4272760
92133618
101144304
11711807
12472268
13310b05
1421b040
151790be
hex1175f0

1144304 has 40 divisors (see below), whose sum is σ = 2687328. Its totient is φ = 460800.

The previous prime is 1144301. The next prime is 1144327. The reversal of 1144304 is 4034411.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144301) 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 7 ways as a sum of consecutive naturals, for example, 1604 + ... + 2204.

21144304 is an apocalyptic number.

1144304 is a gapful number since it is divisible by the number (14) 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 1144304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343664).

1144304 is an abundant number, since it is smaller than the sum of its proper divisors (1543024).

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

1144304 is a wasteful number, since it uses less digits than its factorization.

1144304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1144304 is about 1069.7214590724. The cubic root of 1144304 is about 104.5956938808.

Adding to 1144304 its reverse (4034411), we get a palindrome (5178715).

The spelling of 1144304 in words is "one million, one hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 601 952 1202 1904 2404 4207 4808 8414 9616 10217 16828 20434 33656 40868 67312 71519 81736 143038 163472 286076 572152 1144304