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312243000 = 23353293797
BaseRepresentation
bin10010100111000…
…111001100111000
3210202112120212120
4102213013030320
51114413234000
650552241240
710511010306
oct2247071470
9722476776
10312243000
11150286873
12886a0220
134c8c6594
142d67d276
151c62b6a0
hex129c7338

312243000 has 256 divisors, whose sum is σ = 1045699200. Its totient is φ = 77414400.

The previous prime is 312242989. The next prime is 312243031. The reversal of 312243000 is 342213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3218952 + ... + 3219048.

Almost surely, 2312243000 is an apocalyptic number.

312243000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522849600).

312243000 is an abundant number, since it is smaller than the sum of its proper divisors (733456200).

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

312243000 is a wasteful number, since it uses less digits than its factorization.

312243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 312243000 is about 17670.3989768200. The cubic root of 312243000 is about 678.4183250416.

Adding to 312243000 its reverse (342213), we get a palindrome (312585213).

The spelling of 312243000 in words is "three hundred twelve million, two hundred forty-three thousand".