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313425 = 32527199
BaseRepresentation
bin1001100100001010001
3120220221100
41030201101
540012200
610415013
72443530
oct1144121
9526840
10313425
111a4532
12131469
13ac878
1482317
1562d00
hex4c851

313425 has 36 divisors (see below), whose sum is σ = 644800. Its totient is φ = 142560.

The previous prime is 313409. The next prime is 313471. The reversal of 313425 is 524313.

313425 = 93 + 103 + ... + 333.

It is not a de Polignac number, because 313425 - 24 = 313409 is a prime.

313425 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 313398 and 313407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1476 + ... + 1674.

2313425 is an apocalyptic number.

313425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313425 is an abundant number, since it is smaller than the sum of its proper divisors (331375).

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

313425 is a wasteful number, since it uses less digits than its factorization.

313425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 313425 is about 559.8437281956. The cubic root of 313425 is about 67.9273300949.

Adding to 313425 its reverse (524313), we get a palindrome (837738).

The spelling of 313425 in words is "three hundred thirteen thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 199 225 315 525 597 995 1393 1575 1791 2985 4179 4975 6965 8955 12537 14925 20895 34825 44775 62685 104475 313425