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312229728 = 253540153
BaseRepresentation
bin10010100111000…
…011111101100000
3210202111220200000
4102213003331200
51114412322403
650552100000
710510623516
oct2247037540
9722456600
10312229728
111502778a8
1288694600
134c8c0525
142d6784b6
151c6277a3
hex129c3f60

312229728 has 72 divisors (see below), whose sum is σ = 920811528. Its totient is φ = 104073984.

The previous prime is 312229727. The next prime is 312229733. The reversal of 312229728 is 827922213.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312229692 and 312229701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312229727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12301 + ... + 27852.

It is an arithmetic number, because the mean of its divisors is an integer number (12789049).

Almost surely, 2312229728 is an apocalyptic number.

It is an amenable number.

312229728 is an abundant number, since it is smaller than the sum of its proper divisors (608581800).

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

312229728 is an equidigital number, since it uses as much as digits as its factorization.

312229728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40178 (or 40158 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 312229728 is about 17670.0234295261. The cubic root of 312229728 is about 678.4087127678.

The spelling of 312229728 in words is "three hundred twelve million, two hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 40153 80306 120459 160612 240918 321224 361377 481836 642448 722754 963672 1084131 1284896 1445508 1927344 2168262 2891016 3252393 3854688 4336524 5782032 6504786 8673048 9757179 11564064 13009572 17346096 19514358 26019144 34692192 39028716 52038288 78057432 104076576 156114864 312229728