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2313144 = 233310709
BaseRepresentation
bin1000110100101110111000
311100112001000
420310232320
51043010034
6121325000
725442601
oct10645670
94315030
102313144
11133a999
12936760
1362cb32
14442da8
1530a599
hex234bb8

2313144 has 32 divisors (see below), whose sum is σ = 6426000. Its totient is φ = 770976.

The previous prime is 2313137. The next prime is 2313161. The reversal of 2313144 is 4413132.

2313144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 5139 + ... + 5570.

22313144 is an apocalyptic number.

2313144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2313144 is an abundant number, since it is smaller than the sum of its proper divisors (4112856).

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

2313144 is a wasteful number, since it uses less digits than its factorization.

2313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10724 (or 10714 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2313144 is about 1520.9023637302. The cubic root of 2313144 is about 132.2515862984.

Adding to 2313144 its reverse (4413132), we get a palindrome (6726276).

It can be divided in two parts, 231 and 3144, that added together give a cube (3375 = 153).

The spelling of 2313144 in words is "two million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 10709 21418 32127 42836 64254 85672 96381 128508 192762 257016 289143 385524 578286 771048 1156572 2313144