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309881 = 11213197
BaseRepresentation
bin1001011101001111001
3120202002002
41023221321
534404011
610350345
72430305
oct1135171
9522062
10309881
111a1900
1212b3b5
13ab080
1480d05
1561c3b
hex4ba79

309881 has 12 divisors (see below), whose sum is σ = 368676. Its totient is φ = 258720.

The previous prime is 309877. The next prime is 309899. The reversal of 309881 is 188903.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 193600 + 116281 = 440^2 + 341^2 .

It is not a de Polignac number, because 309881 - 22 = 309877 is a prime.

It is a super-2 number, since 2×3098812 = 192052468322, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309881.

It is not an unprimeable number, because it can be changed into a prime (309811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1475 + ... + 1671.

It is an arithmetic number, because the mean of its divisors is an integer number (30723).

2309881 is an apocalyptic number.

It is an amenable number.

309881 is a deficient number, since it is larger than the sum of its proper divisors (58795).

309881 is a wasteful number, since it uses less digits than its factorization.

309881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 309881 is about 556.6695608707. The cubic root of 309881 is about 67.6703334124.

The spelling of 309881 in words is "three hundred nine thousand, eight hundred eighty-one".

Divisors: 1 11 13 121 143 197 1573 2167 2561 23837 28171 309881