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312312330 = 232511315467
BaseRepresentation
bin10010100111011…
…000001000001010
3210202200002222100
4102213120020022
51114422443310
650553534230
710511416401
oct2247301012
9722602870
10312312330
11150323970
1288714376
134c91bcc5
142d69a638
151c641ec0
hex129d820a

312312330 has 48 divisors (see below), whose sum is σ = 885834144. Its totient is φ = 75711840.

The previous prime is 312312307. The next prime is 312312337. The reversal of 312312330 is 33213213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312312337) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 156744 + ... + 158723.

It is an arithmetic number, because the mean of its divisors is an integer number (18454878).

Almost surely, 2312312330 is an apocalyptic number.

312312330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312312330 is an abundant number, since it is smaller than the sum of its proper divisors (573521814).

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

312312330 is a wasteful number, since it uses less digits than its factorization.

312312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315491 (or 315488 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 312312330 is about 17672.3606233010. The cubic root of 312312330 is about 678.4685330118.

Adding to 312312330 its reverse (33213213), we get a palindrome (345525543).

The spelling of 312312330 in words is "three hundred twelve million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 315467 630934 946401 1577335 1892802 2839203 3154670 3470137 4732005 5678406 6940274 9464010 10410411 14196015 17350685 20820822 28392030 31231233 34701370 52052055 62462466 104104110 156156165 312312330