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312399990 = 23457217463
BaseRepresentation
bin10010100111101…
…101100001110110
3210202211120020000
4102213231201312
51114433244430
650555452130
710512233100
oct2247554166
9722746200
10312399990
11150383811
1288757046
134c94cb86
142d6c0570
151c65ce60
hex129ed876

312399990 has 240 divisors, whose sum is σ = 1036867392. Its totient is φ = 67060224.

The previous prime is 312399937. The next prime is 312400001. The reversal of 312399990 is 99993213.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 674499 + ... + 674961.

Almost surely, 2312399990 is an apocalyptic number.

312399990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312399990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518433696).

312399990 is an abundant number, since it is smaller than the sum of its proper divisors (724467402).

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

312399990 is a wasteful number, since it uses less digits than its factorization.

312399990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The square root of 312399990 is about 17674.8405933406. The cubic root of 312399990 is about 678.5320047166.

The spelling of 312399990 in words is "three hundred twelve million, three hundred ninety-nine thousand, nine hundred ninety".