Search a number
-
+
314533240 = 23571139941
BaseRepresentation
bin10010101111110…
…110010101111000
3210220211221111021
4102233312111320
51121010030430
651113312224
710536326350
oct2257662570
9726757437
10314533240
1115160052a
1289405674
1350218b58
142dab7b60
151c93007a
hex12bf6578

314533240 has 64 divisors (see below), whose sum is σ = 816039360. Its totient is φ = 106874880.

The previous prime is 314533229. The next prime is 314533253. The reversal of 314533240 is 42335413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26670 + ... + 36610.

It is an arithmetic number, because the mean of its divisors is an integer number (12750615).

Almost surely, 2314533240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314533240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408019680).

314533240 is an abundant number, since it is smaller than the sum of its proper divisors (501506120).

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

314533240 is a wasteful number, since it uses less digits than its factorization.

314533240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 314533240 is about 17735.0850012059. The cubic root of 314533240 is about 680.0729737142.

Adding to 314533240 its reverse (42335413), we get a palindrome (356868653).

The spelling of 314533240 in words is "three hundred fourteen million, five hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1582 2260 3164 3955 4520 6328 7910 9941 15820 19882 31640 39764 49705 69587 79528 99410 139174 198820 278348 347935 397640 556696 695870 1123333 1391740 2246666 2783480 4493332 5616665 7863331 8986664 11233330 15726662 22466660 31453324 39316655 44933320 62906648 78633310 157266620 314533240