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314002242 = 23217444569
BaseRepresentation
bin10010101101110…
…100101101000010
3210212211222002200
4102231310231002
51120341032432
651054054030
710531655301
oct2255645502
9725758080
10314002242
11151278594
12891aa316
1350091258
142d9ba438
151c877a7c
hex12b74b42

314002242 has 12 divisors (see below), whose sum is σ = 680338230. Its totient is φ = 104667408.

The previous prime is 314002207. The next prime is 314002243. The reversal of 314002242 is 242200413.

It can be written as a sum of positive squares in only one way, i.e., 180391761 + 133610481 = 13431^2 + 11559^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17444569 = 314002242 / (3 + 1 + 4 + 0 + 0 + 2 + 2 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (314002243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8722267 + ... + 8722302.

Almost surely, 2314002242 is an apocalyptic number.

314002242 is an abundant number, since it is smaller than the sum of its proper divisors (366335988).

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

314002242 is a wasteful number, since it uses less digits than its factorization.

314002242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17444577 (or 17444574 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 314002242 is about 17720.1084082463. The cubic root of 314002242 is about 679.6900562694.

Adding to 314002242 its reverse (242200413), we get a palindrome (556202655).

The spelling of 314002242 in words is "three hundred fourteen million, two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 17444569 34889138 52333707 104667414 157001121 314002242