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312012342 = 232233720369
BaseRepresentation
bin10010100110001…
…110111000110110
3210202002212110200
4102212032320312
51114333343332
650543301330
710506026655
oct2246167066
9722085420
10312012342
11150139544
12885aa846
134c8455b5
142d61d19c
151c5d317c
hex1298ee36

312012342 has 48 divisors (see below), whose sum is σ = 724520160. Its totient is φ = 96788736.

The previous prime is 312012341. The next prime is 312012347. The reversal of 312012342 is 243210213.

312012342 is a `hidden beast` number, since 312 + 0 + 12 + 342 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312012341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5134 + ... + 25502.

It is an arithmetic number, because the mean of its divisors is an integer number (15094170).

Almost surely, 2312012342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312012342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362260080).

312012342 is an abundant number, since it is smaller than the sum of its proper divisors (412507818).

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

312012342 is a wasteful number, since it uses less digits than its factorization.

312012342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20437 (or 20434 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312012342 is about 17663.8710932796. The cubic root of 312012342 is about 678.2512317182.

Adding to 312012342 its reverse (243210213), we get a palindrome (555222555).

The spelling of 312012342 in words is "three hundred twelve million, twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1702 2553 5106 7659 15318 20369 40738 61107 122214 183321 366642 468487 753653 936974 1405461 1507306 2260959 2810922 4216383 4521918 6782877 8432766 13565754 17334019 34668038 52002057 104004114 156006171 312012342