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312780424 = 231115722639
BaseRepresentation
bin10010101001001…
…010011010001000
3210210112220002011
4102221022122020
51120032433144
651011545304
710515406165
oct2251123210
9723486064
10312780424
11150613620
12888bb234
134ca54098
142d77d06c
151c6d5a34
hex12a4a688

312780424 has 32 divisors (see below), whose sum is σ = 643881600. Its totient is φ = 141261120.

The previous prime is 312780407. The next prime is 312780449. The reversal of 312780424 is 424087213.

312780424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2497 + ... + 25135.

It is an arithmetic number, because the mean of its divisors is an integer number (20121300).

Almost surely, 2312780424 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 312780424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321940800).

312780424 is an abundant number, since it is smaller than the sum of its proper divisors (331101176).

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

312780424 is a wasteful number, since it uses less digits than its factorization.

312780424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22813 (or 22809 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 312780424 is about 17685.5993395757. The cubic root of 312780424 is about 678.8073268883.

The spelling of 312780424 in words is "three hundred twelve million, seven hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 157 314 628 1256 1727 3454 6908 13816 22639 45278 90556 181112 249029 498058 996116 1992232 3554323 7108646 14217292 28434584 39097553 78195106 156390212 312780424