Search a number
-
+
314341224 = 23313097551
BaseRepresentation
bin10010101111000…
…111011101101000
3210220111012002120
4102233013131220
51120432404344
651105231240
710534566501
oct2257073550
9726435076
10314341224
1115148a23a
1289332520
135017c632
142da67ba8
151c8e3219
hex12bc7768

314341224 has 16 divisors (see below), whose sum is σ = 785853120. Its totient is φ = 104780400.

The previous prime is 314341213. The next prime is 314341229. The reversal of 314341224 is 422143413.

314341224 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 (24), and also a Moran number because the ratio is a prime number: 13097551 = 314341224 / (3 + 1 + 4 + 3 + 4 + 1 + 2 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 314341194 and 314341203.

It is not an unprimeable number, because it can be changed into a prime (314341229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6548752 + ... + 6548799.

It is an arithmetic number, because the mean of its divisors is an integer number (49115820).

Almost surely, 2314341224 is an apocalyptic number.

It is an amenable number.

314341224 is an abundant number, since it is smaller than the sum of its proper divisors (471511896).

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

314341224 is a wasteful number, since it uses less digits than its factorization.

314341224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13097560 (or 13097556 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 314341224 is about 17729.6707245228. The cubic root of 314341224 is about 679.9345554087.

Adding to 314341224 its reverse (422143413), we get a palindrome (736484637).

The spelling of 314341224 in words is "three hundred fourteen million, three hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 13097551 26195102 39292653 52390204 78585306 104780408 157170612 314341224