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3134144 = 26133767
BaseRepresentation
bin1011111101001011000000
312220020020102
423331023000
51300243034
6151101532
735432306
oct13751300
95806212
103134144
111850802
1210718a8
13859730
145b8276
1541d97e
hex2fd2c0

3134144 has 28 divisors (see below), whose sum is σ = 6699504. Its totient is φ = 1446144.

The previous prime is 3134143. The next prime is 3134147. The reversal of 3134144 is 4414313.

It is a happy number.

3134144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31341442 = 19645717225472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3134143) 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 3 ways as a sum of consecutive naturals, for example, 1052 + ... + 2715.

It is an arithmetic number, because the mean of its divisors is an integer number (239268).

Almost surely, 23134144 is an apocalyptic number.

It is an amenable number.

3134144 is an abundant number, since it is smaller than the sum of its proper divisors (3565360).

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

3134144 is a wasteful number, since it uses less digits than its factorization.

3134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3782 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 3134144 is about 1770.3513775519. The cubic root of 3134144 is about 146.3433465485.

Adding to 3134144 its reverse (4414313), we get a palindrome (7548457).

The spelling of 3134144 in words is "three million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 3767 7534 15068 30136 48971 60272 97942 120544 195884 241088 391768 783536 1567072 3134144