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312412422 = 23753293479
BaseRepresentation
bin10010100111110…
…000100100000110
3210202212012021110
4102213300210012
51114434144142
651000025450
710512314250
oct2247604406
9722765243
10312412422
11150392093
1288762286
134c95572a
142d6c4cd0
151c66199c
hex129f0906

312412422 has 64 divisors (see below), whose sum is σ = 731566080. Its totient is φ = 87095424.

The previous prime is 312412403. The next prime is 312412433. The reversal of 312412422 is 224214213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651979 + ... + 652457.

It is an arithmetic number, because the mean of its divisors is an integer number (11430720).

Almost surely, 2312412422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312412422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

312412422 is an abundant number, since it is smaller than the sum of its proper divisors (419153658).

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

312412422 is a wasteful number, since it uses less digits than its factorization.

312412422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837.

The product of its digits is 768, while the sum is 21.

The square root of 312412422 is about 17675.1922761819. The cubic root of 312412422 is about 678.5410053549.

Adding to 312412422 its reverse (224214213), we get a palindrome (536626635).

The spelling of 312412422 in words is "three hundred twelve million, four hundred twelve thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 293 318 371 479 586 742 879 958 1113 1437 1758 2051 2226 2874 3353 4102 6153 6706 10059 12306 15529 20118 25387 31058 46587 50774 76161 93174 108703 140347 152322 177709 217406 280694 326109 355418 421041 533127 652218 842082 982429 1066254 1964858 2947287 5894574 7438391 14876782 22315173 44630346 52068737 104137474 156206211 312412422