Search a number
-
+
316452032 = 2613232719
BaseRepresentation
bin10010110111001…
…010110011000000
3211001110102120122
4102313022303000
51122002431112
651222355412
710561540451
oct2267126300
9731412518
10316452032
111526a1106
1289b8bb68
135073b330
1430057128
151cbad872
hex12dcacc0

316452032 has 84 divisors (see below), whose sum is σ = 707928480. Its totient is φ = 139510272.

The previous prime is 316452023. The next prime is 316452043. The reversal of 316452032 is 230254613.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 316451992 and 316452010.

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 11 ways as a sum of consecutive naturals, for example, 439769 + ... + 440487.

It is an arithmetic number, because the mean of its divisors is an integer number (8427720).

Almost surely, 2316452032 is an apocalyptic number.

316452032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353964240).

316452032 is an abundant number, since it is smaller than the sum of its proper divisors (391476448).

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

316452032 is a wasteful number, since it uses less digits than its factorization.

316452032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 316452032 is about 17789.0986843066. The cubic root of 316452032 is about 681.4530864712.

The spelling of 316452032 in words is "three hundred sixteen million, four hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 529 598 719 736 832 1058 1196 1438 1472 2116 2392 2876 4232 4784 5752 6877 8464 9347 9568 11504 13754 16537 16928 18694 19136 23008 27508 33074 33856 37388 46016 55016 66148 74776 110032 132296 149552 214981 220064 264592 299104 380351 429962 440128 529184 598208 760702 859924 1058368 1521404 1719848 3042808 3439696 4944563 6085616 6879392 9889126 12171232 13758784 19778252 24342464 39556504 79113008 158226016 316452032