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312407226 = 23313941621
BaseRepresentation
bin10010100111101…
…111010010111010
3210202211221011000
4102213233102322
51114434012401
650555545430
710512263145
oct2247572272
9722757130
10312407226
1115038919a
128875b276
134c953261
142d6c305c
151c660186
hex129ef4ba

312407226 has 32 divisors (see below), whose sum is σ = 699249600. Its totient is φ = 103384080.

The previous prime is 312407219. The next prime is 312407231. The reversal of 312407226 is 622704213.

312407226 is a `hidden beast` number, since 31 + 2 + 407 + 226 = 666.

312407226 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312407226.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13305 + ... + 28316.

It is an arithmetic number, because the mean of its divisors is an integer number (21851550).

Almost surely, 2312407226 is an apocalyptic number.

312407226 is an abundant number, since it is smaller than the sum of its proper divisors (386842374).

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

312407226 is a wasteful number, since it uses less digits than its factorization.

312407226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41771 (or 41765 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 312407226 is about 17675.0452898995. The cubic root of 312407226 is about 678.5372435342.

The spelling of 312407226 in words is "three hundred twelve million, four hundred seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 139 278 417 834 1251 2502 3753 7506 41621 83242 124863 249726 374589 749178 1123767 2247534 5785319 11570638 17355957 34711914 52067871 104135742 156203613 312407226