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312242826 = 23729269953
BaseRepresentation
bin10010100111000…
…111001010001010
3210202112120122010
4102213013022022
51114413232301
650552240350
710511006640
oct2247071212
9722476563
10312242826
11150286725
12886a00b6
134c8c648c
142d67d190
151c62b5d6
hex129c728a

312242826 has 64 divisors (see below), whose sum is σ = 741830400. Its totient is φ = 85725696.

The previous prime is 312242807. The next prime is 312242831. The reversal of 312242826 is 628242213.

It is a junction number, because it is equal to n+sod(n) for n = 312242793 and 312242802.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 327166 + ... + 328118.

It is an arithmetic number, because the mean of its divisors is an integer number (11591100).

Almost surely, 2312242826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312242826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370915200).

312242826 is an abundant number, since it is smaller than the sum of its proper divisors (429587574).

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

312242826 is a wasteful number, since it uses less digits than its factorization.

312242826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263.

The product of its digits is 9216, while the sum is 30.

The square root of 312242826 is about 17670.3940533311. The cubic root of 312242826 is about 678.4181990235.

The spelling of 312242826 in words is "three hundred twelve million, two hundred forty-two thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 269 406 538 609 807 953 1218 1614 1883 1906 2859 3766 5649 5718 6671 7801 11298 13342 15602 20013 23403 27637 40026 46806 54607 55274 82911 109214 163821 165822 193459 256357 327642 386918 512714 580377 769071 1160754 1538142 1794499 3588998 5383497 7434353 10766994 14868706 22303059 44606118 52040471 104080942 156121413 312242826