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314442693 = 32172532281
BaseRepresentation
bin10010101111100…
…000001111000101
3210220200100021200
4102233200033011
51120444131233
651111333113
710535501355
oct2257401705
9726610250
10314442693
111515494a4
1289381199
13501b6886
142da92b65
151c913313
hex12be03c5

314442693 has 36 divisors (see below), whose sum is σ = 491802948. Its totient is φ = 193489920.

The previous prime is 314442691. The next prime is 314442697. The reversal of 314442693 is 396244413.

It is a happy number.

314442693 is a `hidden beast` number, since 3 + 144 + 426 + 93 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 62204769 + 252237924 = 7887^2 + 15882^2 .

It is not a de Polignac number, because 314442693 - 21 = 314442691 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314442691) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136713 + ... + 138993.

It is an arithmetic number, because the mean of its divisors is an integer number (13661193).

Almost surely, 2314442693 is an apocalyptic number.

It is an amenable number.

314442693 is a deficient number, since it is larger than the sum of its proper divisors (177360255).

314442693 is a wasteful number, since it uses less digits than its factorization.

314442693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2354 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 314442693 is about 17732.5320526991. The cubic root of 314442693 is about 680.0077082460.

The spelling of 314442693 in words is "three hundred fourteen million, four hundred forty-two thousand, six hundred ninety-three".

Divisors: 1 3 9 17 51 53 153 159 289 477 867 901 2281 2601 2703 6843 8109 15317 20529 38777 45951 116331 120893 137853 348993 362679 659209 1088037 1977627 2055181 5932881 6165543 18496629 34938077 104814231 314442693