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314444013 = 3132929587
BaseRepresentation
bin10010101111100…
…000100011101101
3210220200102002120
4102233200203231
51120444202023
651111343153
710535505252
oct2257404355
9726612076
10314444013
1115154a494
1289381ab9
13501b7360
142da93429
151c9138e3
hex12be08ed

314444013 has 24 divisors (see below), whose sum is σ = 467664288. Its totient is φ = 186811968.

The previous prime is 314443979. The next prime is 314444021. The reversal of 314444013 is 310444413.

It is a de Polignac number, because none of the positive numbers 2k-314444013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314444023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28006 + ... + 37592.

It is an arithmetic number, because the mean of its divisors is an integer number (19486012).

Almost surely, 2314444013 is an apocalyptic number.

It is an amenable number.

314444013 is a deficient number, since it is larger than the sum of its proper divisors (153220275).

314444013 is a wasteful number, since it uses less digits than its factorization.

314444013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9661 (or 9632 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 314444013 is about 17732.5692723869. The cubic root of 314444013 is about 680.0086597801.

Adding to 314444013 its reverse (310444413), we get a palindrome (624888426).

The spelling of 314444013 in words is "three hundred fourteen million, four hundred forty-four thousand, thirteen".

Divisors: 1 3 13 29 39 87 377 841 1131 2523 9587 10933 28761 32799 124631 278023 373893 834069 3614299 8062667 10842897 24188001 104814671 314444013