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310414013 = 7133411143
BaseRepresentation
bin10010100000001…
…000101010111101
3210122002122222022
4102200020222331
51113431222023
650445125525
710456322060
oct2240105275
9718078868
10310414013
1114a247708
1287b598a5
134c405c40
142d3248d7
151c3b97c8
hex12808abd

310414013 has 8 divisors (see below), whose sum is σ = 382048128. Its totient is φ = 245602224.

The previous prime is 310414009. The next prime is 310414021.

310414013 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 310414013 - 22 = 310414009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 310413982 and 310414000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310414213) 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, 1705481 + ... + 1705662.

It is an arithmetic number, because the mean of its divisors is an integer number (47756016).

Almost surely, 2310414013 is an apocalyptic number.

It is an amenable number.

310414013 is a deficient number, since it is larger than the sum of its proper divisors (71634115).

310414013 is a wasteful number, since it uses less digits than its factorization.

310414013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411163.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 310414013 is about 17618.5701179182. The cubic root of 310414013 is about 677.0911013290.

The spelling of 310414013 in words is "three hundred ten million, four hundred fourteen thousand, thirteen".

Divisors: 1 7 13 91 3411143 23878001 44344859 310414013