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314242420 = 22515712121
BaseRepresentation
bin10010101110101…
…111010101110100
3210220022011120011
4102232233111310
51120421224140
651103150004
710534005442
oct2256572564
9726264504
10314242420
11151421a88
12892a5304
135014667b
142da3db92
151c8c3cea
hex12baf574

314242420 has 12 divisors (see below), whose sum is σ = 659909124. Its totient is φ = 125696960.

The previous prime is 314242403. The next prime is 314242421. The reversal of 314242420 is 24242413.

It is a happy number.

314242420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 193154404 + 121088016 = 13898^2 + 11004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 314242391 and 314242400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314242421) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7856041 + ... + 7856080.

It is an arithmetic number, because the mean of its divisors is an integer number (54992427).

Almost surely, 2314242420 is an apocalyptic number.

It is an amenable number.

314242420 is an abundant number, since it is smaller than the sum of its proper divisors (345666704).

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

314242420 is a wasteful number, since it uses less digits than its factorization.

314242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15712130 (or 15712128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 314242420 is about 17726.8841029663. The cubic root of 314242420 is about 679.8633087415.

Adding to 314242420 its reverse (24242413), we get a palindrome (338484833).

The spelling of 314242420 in words is "three hundred fourteen million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 15712121 31424242 62848484 78560605 157121210 314242420