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311008906 = 21313787313
BaseRepresentation
bin10010100010011…
…001111010001010
3210200012220000101
4102202121322022
51114104241111
650510000014
710464350335
oct2242317212
9720186011
10311008906
1114a61365a
12881a600a
134c583950
142d43b61c
151c485bc1
hex12899e8a

311008906 has 16 divisors (see below), whose sum is σ = 506071944. Its totient is φ = 142493184.

The previous prime is 311008879. The next prime is 311008909. The reversal of 311008906 is 609800113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 144985681 + 166023225 = 12041^2 + 12885^2 .

It is a super-2 number, since 2×3110089062 = 193453079222633672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311008909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40095 + ... + 47218.

Almost surely, 2311008906 is an apocalyptic number.

311008906 is a deficient number, since it is larger than the sum of its proper divisors (195063038).

311008906 is a wasteful number, since it uses less digits than its factorization.

311008906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87465.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 311008906 is about 17635.4445932049. Note that the first 3 decimals coincide. The cubic root of 311008906 is about 677.5233624383.

The spelling of 311008906 in words is "three hundred eleven million, eight thousand, nine hundred six".

Divisors: 1 2 13 26 137 274 1781 3562 87313 174626 1135069 2270138 11961881 23923762 155504453 311008906