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313614 = 232719131
BaseRepresentation
bin1001100100100001110
3120221012100
41030210032
540013424
610415530
72444220
oct1144416
9527170
10313614
111a4694
121315a6
13ac992
1482410
1562dc9
hex4c90e

313614 has 48 divisors (see below), whose sum is σ = 823680. Its totient is φ = 84240.

The previous prime is 313613. The next prime is 313619. The reversal of 313614 is 416313.

313614 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 313614.

It is not an unprimeable number, because it can be changed into a prime (313613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2329 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (17160).

2313614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411840).

313614 is an abundant number, since it is smaller than the sum of its proper divisors (510066).

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

313614 is a wasteful number, since it uses less digits than its factorization.

313614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 313614 is about 560.0124998605. The cubic root of 313614 is about 67.9409810861.

Adding to 313614 its reverse (416313), we get a palindrome (729927).

The spelling of 313614 in words is "three hundred thirteen thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 131 133 171 262 266 342 393 399 786 798 917 1179 1197 1834 2358 2394 2489 2751 4978 5502 7467 8253 14934 16506 17423 22401 34846 44802 52269 104538 156807 313614