Search a number
-
+
314723142 = 232171576551
BaseRepresentation
bin10010110000100…
…100101101000110
3210221012120222200
4102300210231012
51121032120032
651121335330
710541050116
oct2260445506
9727176880
10314723142
11151720178
1289497546
1350284416
142db27046
151c96b47c
hex12c24b46

314723142 has 48 divisors (see below), whose sum is σ = 726721632. Its totient is φ = 98092800.

The previous prime is 314723141. The next prime is 314723153. The reversal of 314723142 is 241327413.

It is a happy number.

It is a super-2 number, since 2×3147231422 = 198101312220704328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314723141) 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, 44767 + ... + 51317.

It is an arithmetic number, because the mean of its divisors is an integer number (15140034).

Almost surely, 2314723142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314723142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363360816).

314723142 is an abundant number, since it is smaller than the sum of its proper divisors (411998490).

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

314723142 is a wasteful number, since it uses less digits than its factorization.

314723142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733 (or 6730 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 314723142 is about 17740.4380441972. The cubic root of 314723142 is about 680.2098127070.

The spelling of 314723142 in words is "three hundred fourteen million, seven hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 157 306 314 471 942 1413 2669 2826 5338 6551 8007 13102 16014 19653 24021 39306 48042 58959 111367 117918 222734 334101 668202 1002303 1028507 2004606 2057014 3085521 6171042 9256563 17484619 18513126 34969238 52453857 104907714 157361571 314723142