Search a number
-
+
314661468 = 223112375857
BaseRepresentation
bin10010110000010…
…101101001011100
3210221002110101110
4102300111221130
51121023131333
651120142020
710540402242
oct2260255134
9727073343
10314661468
11151688900
1289467910
1350262324
142db0c792
151c958063
hex12c15a5c

314661468 has 72 divisors (see below), whose sum is σ = 828977296. Its totient is φ = 92759040.

The previous prime is 314661467. The next prime is 314661481. The reversal of 314661468 is 864166413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314661467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50796 + ... + 56652.

Almost surely, 2314661468 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 314661468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414488648).

314661468 is an abundant number, since it is smaller than the sum of its proper divisors (514315828).

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

314661468 is a wasteful number, since it uses less digits than its factorization.

314661468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5910 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 314661468 is about 17738.6997268684. The cubic root of 314661468 is about 680.1653778848.

The spelling of 314661468 in words is "three hundred fourteen million, six hundred sixty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1452 1628 2442 4477 4884 5857 8954 11714 13431 17571 17908 23428 26862 35142 53724 64427 70284 128854 193281 216709 257708 386562 433418 650127 708697 773124 866836 1300254 1417394 2126091 2383799 2600508 2834788 4252182 4767598 7151397 8504364 9535196 14302794 26221789 28605588 52443578 78665367 104887156 157330734 314661468