Search a number
-
+
422678312 = 23721318231
BaseRepresentation
bin11001001100011…
…000111100101000
31002110100021122022
4121030120330220
51331201201222
6105535244012
713321464200
oct3114307450
91073307568
10422678312
111a7655521
12b9679608
1369751b14
14401c9400
1527193042
hex19318f28

422678312 has 48 divisors (see below), whose sum is σ = 929063520. Its totient is φ = 179743200.

The previous prime is 422678309. The next prime is 422678359. The reversal of 422678312 is 213876224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47237 + ... + 55467.

It is an arithmetic number, because the mean of its divisors is an integer number (19355490).

Almost surely, 2422678312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422678312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464531760).

422678312 is an abundant number, since it is smaller than the sum of its proper divisors (506385208).

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

422678312 is a wasteful number, since it uses less digits than its factorization.

422678312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382 (or 8371 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 422678312 is about 20559.1418108831. The cubic root of 422678312 is about 750.4757349120.

The spelling of 422678312 in words is "four hundred twenty-two million, six hundred seventy-eight thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 131 196 262 392 524 917 1048 1834 3668 6419 7336 8231 12838 16462 25676 32924 51352 57617 65848 115234 230468 403319 460936 806638 1078261 1613276 2156522 3226552 4313044 7547827 8626088 15095654 30191308 52834789 60382616 105669578 211339156 422678312