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313634997 = 3513101983
BaseRepresentation
bin10010101100011…
…011000010110101
3210212011022100000
4102230123002311
51120242304442
651042141513
710525565514
oct2254330265
9725138300
10313634997
11151047685
1289051899
134cc93050
142d92267b
151c803d4c
hex12b1b0b5

313634997 has 48 divisors (see below), whose sum is σ = 511475328. Its totient is φ = 190900800.

The previous prime is 313634963. The next prime is 313634999. The reversal of 313634997 is 799436313.

It is a happy number.

313634997 is a `hidden beast` number, since 3 + 1 + 3 + 634 + 9 + 9 + 7 = 666.

It is not a de Polignac number, because 313634997 - 26 = 313634933 is a prime.

It is a super-2 number, since 2×3136349972 = 196733822686380018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313634999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318568 + ... + 319550.

It is an arithmetic number, because the mean of its divisors is an integer number (10655736).

Almost surely, 2313634997 is an apocalyptic number.

It is an amenable number.

313634997 is a deficient number, since it is larger than the sum of its proper divisors (197840331).

313634997 is a wasteful number, since it uses less digits than its factorization.

313634997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1100 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 313634997 is about 17709.7429964413. The cubic root of 313634997 is about 679.4249730767.

The spelling of 313634997 in words is "three hundred thirteen million, six hundred thirty-four thousand, nine hundred ninety-seven".

Divisors: 1 3 9 13 27 39 81 101 117 243 303 351 909 983 1053 1313 2727 2949 3159 3939 8181 8847 11817 12779 24543 26541 35451 38337 79623 99283 106353 115011 238869 297849 319059 345033 893547 1035099 1290679 2680641 3105297 3872037 8041923 11616111 24125769 34848333 104544999 313634997