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312041322 = 23423831009
BaseRepresentation
bin10010100110010…
…101111101101010
3210202011100020000
4102212111331222
51114340310242
650544043430
710506210315
oct2246257552
9722140200
10312041322
1115015929a
1288603576
134c855848
142d62997c
151c5dba4c
hex12995f6a

312041322 has 80 divisors (see below), whose sum is σ = 739126080. Its totient is φ = 98195328.

The previous prime is 312041309. The next prime is 312041333. The reversal of 312041322 is 223140213.

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 = 312041295 and 312041304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308754 + ... + 309762.

It is an arithmetic number, because the mean of its divisors is an integer number (9239076).

Almost surely, 2312041322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312041322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369563040).

312041322 is an abundant number, since it is smaller than the sum of its proper divisors (427084758).

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

312041322 is a wasteful number, since it uses less digits than its factorization.

312041322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

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

The square root of 312041322 is about 17664.6913927190. The cubic root of 312041322 is about 678.2722299390.

Adding to 312041322 its reverse (223140213), we get a palindrome (535181535).

The spelling of 312041322 in words is "three hundred twelve million, forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 83 138 162 166 207 249 414 498 621 747 1009 1242 1494 1863 1909 2018 2241 3027 3726 3818 4482 5727 6054 6723 9081 11454 13446 17181 18162 23207 27243 34362 46414 51543 54486 69621 81729 83747 103086 139242 154629 163458 167494 208863 251241 309258 417726 502482 626589 753723 1253178 1507446 1879767 1926181 2261169 3759534 3852362 4522338 5778543 6783507 11557086 13567014 17335629 34671258 52006887 104013774 156020661 312041322