Search a number
-
+
314312420 = 22515715621
BaseRepresentation
bin10010101111000…
…000011011100100
3210220102201120202
4102233000123210
51120430444140
651104450032
710534416512
oct2257003344
9726381522
10314312420
1115146a634
1289319918
135016c4a6
142da5b4b2
151c8d9915
hex12bc06e4

314312420 has 12 divisors (see below), whose sum is σ = 660056124. Its totient is φ = 125724960.

The previous prime is 314312417. The next prime is 314312423. The reversal of 314312420 is 24213413.

It is an interprime number because it is at equal distance from previous prime (314312417) and next prime (314312423).

It can be written as a sum of positive squares in 2 ways, for example, as 92659876 + 221652544 = 9626^2 + 14888^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 15715621 = 314312420 / (3 + 1 + 4 + 3 + 1 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 314312392 and 314312401.

It is not an unprimeable number, because it can be changed into a prime (314312423) 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 3 ways as a sum of consecutive naturals, for example, 7857791 + ... + 7857830.

It is an arithmetic number, because the mean of its divisors is an integer number (55004677).

Almost surely, 2314312420 is an apocalyptic number.

It is an amenable number.

314312420 is an abundant number, since it is smaller than the sum of its proper divisors (345743704).

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

314312420 is a wasteful number, since it uses less digits than its factorization.

314312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15715630 (or 15715628 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314312420 is about 17728.8583952831. The cubic root of 314312420 is about 679.9137866478.

Adding to 314312420 its reverse (24213413), we get a palindrome (338525833).

The spelling of 314312420 in words is "three hundred fourteen million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 15715621 31431242 62862484 78578105 157156210 314312420