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312023322 = 232132694957
BaseRepresentation
bin10010100110010…
…001100100011010
3210202010102112100
4102212101210122
51114334221242
650543424230
710506103662
oct2246214432
9722112470
10312023322
11150146816
12885b5076
134c84a5b0
142d6231a2
151c5d654c
hex1299191a

312023322 has 48 divisors (see below), whose sum is σ = 730908360. Its totient is φ = 95630976.

The previous prime is 312023303. The next prime is 312023323. The reversal of 312023322 is 223320213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 195188841 + 116834481 = 13971^2 + 10809^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 312023295 and 312023304.

It is not an unprimeable number, because it can be changed into a prime (312023323) 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, 60468 + ... + 65424.

Almost surely, 2312023322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312023322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365454180).

312023322 is an abundant number, since it is smaller than the sum of its proper divisors (418885038).

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

312023322 is a wasteful number, since it uses less digits than its factorization.

312023322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 312023322 is about 17664.1818944439. The cubic root of 312023322 is about 678.2591877188.

Adding to 312023322 its reverse (223320213), we get a palindrome (535343535).

The spelling of 312023322 in words is "three hundred twelve million, twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 269 538 807 1614 2421 3497 4842 4957 6994 9914 10491 14871 20982 29742 31473 44613 62946 64441 89226 128882 193323 386646 579969 1159938 1333433 2666866 4000299 8000598 12000897 17334629 24001794 34669258 52003887 104007774 156011661 312023322