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312435220 = 22523679207
BaseRepresentation
bin10010100111110…
…110001000010100
3210202220100112211
4102213312020110
51114440411340
651000323204
710512440566
oct2247661024
9722810484
10312435220
111503a8229
1288773504
134c962c16
142d6cd336
151c6685ea
hex129f6214

312435220 has 24 divisors (see below), whose sum is σ = 684641664. Its totient is φ = 119540256.

The previous prime is 312435173. The next prime is 312435223. The reversal of 312435220 is 22534213.

It is a junction number, because it is equal to n+sod(n) for n = 312435191 and 312435200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312435223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339144 + ... + 340063.

It is an arithmetic number, because the mean of its divisors is an integer number (28526736).

Almost surely, 2312435220 is an apocalyptic number.

It is an amenable number.

312435220 is an abundant number, since it is smaller than the sum of its proper divisors (372206444).

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

312435220 is a wasteful number, since it uses less digits than its factorization.

312435220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679239 (or 679237 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 312435220 is about 17675.8371796076. The cubic root of 312435220 is about 678.5575102488.

Adding to 312435220 its reverse (22534213), we get a palindrome (334969433).

It can be divided in two parts, 31243 and 5220, that added together give a palindrome (36463).

The spelling of 312435220 in words is "three hundred twelve million, four hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 679207 1358414 2716828 3396035 6792070 13584140 15621761 31243522 62487044 78108805 156217610 312435220