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314040413 = 2375118181
BaseRepresentation
bin10010101101111…
…110000001011101
3210212220220110102
4102231332001131
51120343243123
651054550445
710532204501
oct2255760135
9725826412
10314040413
111512a4235
1289208425
13500a573b
142d9ca301
151c884028
hex12b7e05d

314040413 has 8 divisors (see below), whose sum is σ = 328148736. Its totient is φ = 299970000.

The previous prime is 314040403. The next prime is 314040427.

It is a happy number.

314040413 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314040413 - 28 = 314040157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314040403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8183 + ... + 26363.

It is an arithmetic number, because the mean of its divisors is an integer number (41018592).

Almost surely, 2314040413 is an apocalyptic number.

It is an amenable number.

314040413 is a deficient number, since it is larger than the sum of its proper divisors (14108323).

314040413 is a wasteful number, since it uses less digits than its factorization.

314040413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18955.

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

The square root of 314040413 is about 17721.1854287460. The cubic root of 314040413 is about 679.7175968349.

The spelling of 314040413 in words is "three hundred fourteen million, forty thousand, four hundred thirteen".

Divisors: 1 23 751 17273 18181 418163 13653931 314040413