Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
316893408 = 25313318191
BaseRepresentation
bin10010111000110…
…110100011100000
3211002021212000220
4102320312203200
51122111042113
651240043040
710565356326
oct2270664340
9732255026
10316893408
11152972787
128a163480
13508641c0
143012dd16
151cc49523
hex12e368e0

316893408 has 96 divisors (see below), whose sum is σ = 924844032. Its totient is φ = 94348800.

The previous prime is 316893403. The next prime is 316893427. The reversal of 316893408 is 804398613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 316893408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316893403) 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 15 ways as a sum of consecutive naturals, for example, 34593 + ... + 42783.

It is an arithmetic number, because the mean of its divisors is an integer number (9633792).

Almost surely, 2316893408 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 316893408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462422016).

316893408 is an abundant number, since it is smaller than the sum of its proper divisors (607950624).

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

316893408 is a wasteful number, since it uses less digits than its factorization.

316893408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 316893408 is about 17801.5001615032. The cubic root of 316893408 is about 681.7697614358.

The spelling of 316893408 in words is "three hundred sixteen million, eight hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 8191 9672 12896 16382 19344 24573 32764 38688 49146 65528 98292 106483 131056 196584 212966 253921 262112 319449 393168 425932 507842 638898 761763 786336 851864 1015684 1277796 1523526 1703728 2031368 2555592 3047052 3300973 3407456 4062736 5111184 6094104 6601946 8125472 9902919 10222368 12188208 13203892 19805838 24376416 26407784 39611676 52815568 79223352 105631136 158446704 316893408