Search a number
-
+
312422484 = 2231121032089
BaseRepresentation
bin10010100111110…
…011000001010100
3210202212201002010
4102213303001110
51114440004414
651000144220
710512355503
oct2247630124
9722781063
10312422484
11150399700
1288768070
134c95a19a
142d6c883a
151c664959
hex129f3054

312422484 has 72 divisors (see below), whose sum is σ = 809448640. Its totient is φ = 93709440.

The previous prime is 312422459. The next prime is 312422527. The reversal of 312422484 is 484224213.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 148512 + ... + 150600.

Almost surely, 2312422484 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 312422484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404724320).

312422484 is an abundant number, since it is smaller than the sum of its proper divisors (497026156).

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

312422484 is a wasteful number, since it uses less digits than its factorization.

312422484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2208 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 312422484 is about 17675.4769101148. The cubic root of 312422484 is about 678.5482899631.

Adding to 312422484 its reverse (484224213), we get a palindrome (796646697).

The spelling of 312422484 in words is "three hundred twelve million, four hundred twenty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 121 132 206 242 309 363 412 484 618 726 1133 1236 1452 2089 2266 3399 4178 4532 6267 6798 8356 12463 12534 13596 22979 24926 25068 37389 45958 49852 68937 74778 91916 137874 149556 215167 252769 275748 430334 505538 645501 758307 860668 1011076 1291002 1516614 2366837 2582004 3033228 4733674 7100511 9467348 14201022 26035207 28402044 52070414 78105621 104140828 156211242 312422484