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312203424 = 25313972579
BaseRepresentation
bin10010100110111…
…101100010100000
3210202110120120210
4102212331202200
51114411002144
650551334120
710510454031
oct2246754240
9722416523
10312203424
1115025a065
1288681340
134c8b1570
142d66ca88
151c61eab9
hex129bd8a0

312203424 has 96 divisors (see below), whose sum is σ = 892019520. Its totient is φ = 95035392.

The previous prime is 312203417. The next prime is 312203431. The reversal of 312203424 is 424302213.

312203424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312203417) and next prime (312203431).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 312203424.

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 15 ways as a sum of consecutive naturals, for example, 119767 + ... + 122345.

It is an arithmetic number, because the mean of its divisors is an integer number (9291870).

Almost surely, 2312203424 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 312203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446009760).

312203424 is an abundant number, since it is smaller than the sum of its proper divisors (579816096).

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

312203424 is a wasteful number, since it uses less digits than its factorization.

312203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 312203424 is about 17669.2791024422. The cubic root of 312203424 is about 678.3896612359.

Adding to 312203424 its reverse (424302213), we get a palindrome (736505637).

The spelling of 312203424 in words is "three hundred twelve million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 97 104 156 194 208 291 312 388 416 582 624 776 1164 1248 1261 1552 2328 2522 2579 3104 3783 4656 5044 5158 7566 7737 9312 10088 10316 15132 15474 20176 20632 30264 30948 33527 40352 41264 60528 61896 67054 82528 100581 121056 123792 134108 201162 247584 250163 268216 402324 500326 536432 750489 804648 1000652 1072864 1500978 1609296 2001304 3001956 3218592 3252119 4002608 6003912 6504238 8005216 9756357 12007824 13008476 19512714 24015648 26016952 39025428 52033904 78050856 104067808 156101712 312203424