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312423552 = 27327174353
BaseRepresentation
bin10010100111110…
…011010010000000
3210202212202112200
4102213303102000
51114440023202
651000153200
710512361560
oct2247632200
9722782480
10312423552
1115039a491
1288768800
134c95a80c
142d6c8da0
151c664e1c
hex129f3480

312423552 has 384 divisors, whose sum is σ = 1134207360. Its totient is φ = 80510976.

The previous prime is 312423547. The next prime is 312423571. The reversal of 312423552 is 255324213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5894758 + ... + 5894810.

It is an arithmetic number, because the mean of its divisors is an integer number (2953665).

Almost surely, 2312423552 is an apocalyptic number.

312423552 is a gapful number since it is divisible by the number (32) 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 312423552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567103680).

312423552 is an abundant number, since it is smaller than the sum of its proper divisors (821783808).

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

312423552 is a wasteful number, since it uses less digits than its factorization.

312423552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 312423552 is about 17675.5071214378. The cubic root of 312423552 is about 678.5490631563.

Adding to 312423552 its reverse (255324213), we get a palindrome (567747765).

The spelling of 312423552 in words is "three hundred twelve million, four hundred twenty-three thousand, five hundred fifty-two".