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316233424 = 241310115053
BaseRepresentation
bin10010110110010…
…101011011010000
3211001001022201001
4102312111123100
51121423432144
651213551344
710556640223
oct2266253320
9731038631
10316233424
11152561941
1289aa5554
1350692990
142dddb5ba
151cb68bd4
hex12d956d0

316233424 has 40 divisors (see below), whose sum is σ = 666410472. Its totient is φ = 144499200.

The previous prime is 316233419. The next prime is 316233427. The reversal of 316233424 is 424332613.

It can be written as a sum of positive squares in 4 ways, for example, as 155451024 + 160782400 = 12468^2 + 12680^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 316233392 and 316233401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316233427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13482 + ... + 28534.

Almost surely, 2316233424 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 316233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333205236).

316233424 is an abundant number, since it is smaller than the sum of its proper divisors (350177048).

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

316233424 is a wasteful number, since it uses less digits than its factorization.

316233424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15175 (or 15169 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

The square root of 316233424 is about 17782.9531855651. The cubic root of 316233424 is about 681.2961322855.

The spelling of 316233424 in words is "three hundred sixteen million, two hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 404 808 1313 1616 2626 5252 10504 15053 21008 30106 60212 120424 195689 240848 391378 782756 1520353 1565512 3040706 3131024 6081412 12162824 19764589 24325648 39529178 79058356 158116712 316233424