Search a number
-
+
316413640 = 23537439487
BaseRepresentation
bin10010110111000…
…001011011001000
3211001101110220201
4102313001123020
51122000214030
651221501544
710561320514
oct2267013310
9731343821
10316413640
11152675284
1289b718b4
1350726a0a
1430047144
151cba22ca
hex12dc16c8

316413640 has 64 divisors (see below), whose sum is σ = 734342400. Its totient is φ = 122611968.

The previous prime is 316413613. The next prime is 316413667. The reversal of 316413640 is 46314613.

It is an interprime number because it is at equal distance from previous prime (316413613) and next prime (316413667).

It is a junction number, because it is equal to n+sod(n) for n = 316413599 and 316413608.

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, 649477 + ... + 649963.

It is an arithmetic number, because the mean of its divisors is an integer number (11474100).

Almost surely, 2316413640 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 316413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367171200).

316413640 is an abundant number, since it is smaller than the sum of its proper divisors (417928760).

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

316413640 is a wasteful number, since it uses less digits than its factorization.

316413640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 316413640 is about 17788.0195637401. The cubic root of 316413640 is about 681.4255273655.

The spelling of 316413640 in words is "three hundred sixteen million, four hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 439 487 740 878 974 1480 1756 1948 2195 2435 3512 3896 4390 4870 8780 9740 16243 17560 18019 19480 32486 36038 64972 72076 81215 90095 129944 144152 162430 180190 213793 324860 360380 427586 649720 720760 855172 1068965 1710344 2137930 4275860 7910341 8551720 15820682 31641364 39551705 63282728 79103410 158206820 316413640