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315037480 = 23519221817
BaseRepresentation
bin10010110001110…
…001011100101000
3210221210120011211
4102301301130220
51121122144410
651132202504
710543526422
oct2261613450
9727716154
10315037480
1115191535a
1289609434
1350364514
142dba9812
151c9ce68a
hex12c71728

315037480 has 48 divisors (see below), whose sum is σ = 748139220. Its totient is φ = 119377152.

The previous prime is 315037441. The next prime is 315037487. The reversal of 315037480 is 84730513.

It can be written as a sum of positive squares in 2 ways, for example, as 314920516 + 116964 = 17746^2 + 342^2 .

It is a super-2 number, since 2×3150374802 = 198497227609500800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (315037487) by changing a digit.

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, 3532 + ... + 25348.

Almost surely, 2315037480 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 315037480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374069610).

315037480 is an abundant number, since it is smaller than the sum of its proper divisors (433101740).

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

315037480 is a wasteful number, since it uses less digits than its factorization.

315037480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21866 (or 21843 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 315037480 is about 17749.2951972747. The cubic root of 315037480 is about 680.4361964905.

Adding to 315037480 its reverse (84730513), we get a palindrome (399767993).

It can be divided in two parts, 31503 and 7480, that added together give a palindrome (38983).

The spelling of 315037480 in words is "three hundred fifteen million, thirty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 14440 21817 43634 87268 109085 174536 218170 414523 436340 829046 872680 1658092 2072615 3316184 4145230 7875937 8290460 15751874 16580920 31503748 39379685 63007496 78759370 157518740 315037480