Search a number
-
+
314748 = 223271249
BaseRepresentation
bin1001100110101111100
3120222202100
41030311330
540032443
610425100
72450430
oct1146574
9528670
10314748
111a5525
12132190
13b0355
14829c0
15633d3
hex4cd7c

314748 has 36 divisors (see below), whose sum is σ = 910000. Its totient is φ = 89856.

The previous prime is 314747. The next prime is 314761. The reversal of 314748 is 847413.

It is a tau number, because it is divible by the number of its divisors (36).

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 314748.

It is not an unprimeable number, because it can be changed into a prime (314747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373 + ... + 876.

2314748 is an apocalyptic number.

It is an amenable number.

314748 is an abundant number, since it is smaller than the sum of its proper divisors (595252).

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

314748 is a wasteful number, since it uses less digits than its factorization.

314748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1261 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 314748 is about 561.0240636550. The cubic root of 314748 is about 68.0227720733.

Subtracting from 314748 its sum of digits (27), we obtain a square (314721 = 5612).

It can be divided in two parts, 3 and 14748, that multiplied together give a palindrome (44244).

The spelling of 314748 in words is "three hundred fourteen thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1249 2498 3747 4996 7494 8743 11241 14988 17486 22482 26229 34972 44964 52458 78687 104916 157374 314748