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317052432 = 24327330161
BaseRepresentation
bin10010111001011…
…101011000010000
3211002120221011200
4102321131120100
51122131134212
651243311200
710566621054
oct2271353020
9732527150
10317052432
11152a71204
128a21b500
13508bb6b8
1430171c64
151cc7b6dc
hex12e5d610

317052432 has 60 divisors (see below), whose sum is σ = 899491164. Its totient is φ = 104232960.

The previous prime is 317052383. The next prime is 317052457. The reversal of 317052432 is 234250713.

317052432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 218566656 + 98485776 = 14784^2 + 9924^2 .

It is a super-2 number, since 2×3170524322 = 201044489274229248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 317052396 and 317052405.

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, 4569 + ... + 25592.

Almost surely, 2317052432 is an apocalyptic number.

It is an amenable number.

317052432 is an abundant number, since it is smaller than the sum of its proper divisors (582438732).

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

317052432 is a wasteful number, since it uses less digits than its factorization.

317052432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30248 (or 30239 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 317052432 is about 17805.9661911394. The cubic root of 317052432 is about 681.8837846598.

The spelling of 317052432 in words is "three hundred seventeen million, fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 30161 60322 90483 120644 180966 241288 271449 361932 482576 542898 723864 1085796 1447728 2171592 2201753 4343184 4403506 6605259 8807012 13210518 17614024 19815777 26421036 35228048 39631554 52842072 79263108 105684144 158526216 317052432