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312243444 = 22333778139
BaseRepresentation
bin10010100111000…
…111010011110100
3210202112121111000
4102213013103310
51114413242234
650552243300
710511011512
oct2247072364
9722477430
10312243444
11150287137
12886a0530
134c8c6846
142d67d4b2
151c62b899
hex129c74f4

312243444 has 48 divisors (see below), whose sum is σ = 831409600. Its totient is φ = 101266848.

The previous prime is 312243401. The next prime is 312243457. The reversal of 312243444 is 444342213.

It is a happy number.

312243444 is a `hidden beast` number, since 312 + 2 + 4 + 344 + 4 = 666.

It is a super-2 number, since 2×3122434442 = 194991936641962272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35074 + ... + 43065.

Almost surely, 2312243444 is an apocalyptic number.

It is an amenable number.

312243444 is an abundant number, since it is smaller than the sum of its proper divisors (519166156).

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

312243444 is a wasteful number, since it uses less digits than its factorization.

312243444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78189 (or 78181 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 312243444 is about 17670.4115401991. The cubic root of 312243444 is about 678.4186466048.

Adding to 312243444 its reverse (444342213), we get a palindrome (756585657).

The spelling of 312243444 in words is "three hundred twelve million, two hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 78139 156278 234417 312556 468834 703251 937668 1406502 2109753 2813004 2891143 4219506 5782286 8439012 8673429 11564572 17346858 26020287 34693716 52040574 78060861 104081148 156121722 312243444