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312255312 = 243311731213
BaseRepresentation
bin10010100111001…
…010001101010000
3210202120012202120
4102213022031100
51114414132222
650552414240
710511061225
oct2247121520
9722505676
10312255312
11150295046
12886a7380
134c8cc075
142d68394c
151c63015c
hex129ca350

312255312 has 80 divisors (see below), whose sum is σ = 838184448. Its totient is φ = 100062720.

The previous prime is 312255311. The next prime is 312255331. The reversal of 312255312 is 213552213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312255311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256818 + ... + 258030.

Almost surely, 2312255312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312255312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419092224).

312255312 is an abundant number, since it is smaller than the sum of its proper divisors (525929136).

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

312255312 is a wasteful number, since it uses less digits than its factorization.

312255312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1422 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 312255312 is about 17670.7473526164. The cubic root of 312255312 is about 678.4272417898.

The spelling of 312255312 in words is "three hundred twelve million, two hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 173 186 248 346 372 496 519 692 744 1038 1213 1384 1488 2076 2426 2768 3639 4152 4852 5363 7278 8304 9704 10726 14556 16089 19408 21452 29112 32178 37603 42904 58224 64356 75206 85808 112809 128712 150412 209849 225618 257424 300824 419698 451236 601648 629547 839396 902472 1259094 1678792 1804944 2518188 3357584 5036376 6505319 10072752 13010638 19515957 26021276 39031914 52042552 78063828 104085104 156127656 312255312