Search a number
-
+
317106400 = 25521330491
BaseRepresentation
bin10010111001101…
…010100011100000
3211002200200012111
4102321222203200
51122134401100
651244405104
710600234312
oct2271524340
9732620174
10317106400
11152aa8806
128a246794
135090a130
14301877b2
151cc8c6ba
hex12e6a8e0

317106400 has 72 divisors (see below), whose sum is σ = 833712264. Its totient is φ = 117081600.

The previous prime is 317106353. The next prime is 317106401. The reversal of 317106400 is 4601713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317106401) 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, 4846 + ... + 25645.

It is an arithmetic number, because the mean of its divisors is an integer number (11579337).

Almost surely, 2317106400 is an apocalyptic number.

It is an amenable number.

317106400 is an abundant number, since it is smaller than the sum of its proper divisors (516605864).

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

317106400 is a wasteful number, since it uses less digits than its factorization.

317106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30524 (or 30511 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 317106400 is about 17807.4815737656. The cubic root of 317106400 is about 681.9224720740.

The spelling of 317106400 in words is "three hundred seventeen million, one hundred six thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 30491 60982 121964 152455 243928 304910 396383 487856 609820 762275 792766 975712 1219640 1524550 1585532 1981915 2439280 3049100 3171064 3963830 4878560 6098200 6342128 7927660 9909575 12196400 12684256 15855320 19819150 24392800 31710640 39638300 63421280 79276600 158553200 317106400