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3431286 = 2321979127
BaseRepresentation
bin1101000101101101110110
320110022211200
431011231312
51334300121
6201313330
741110515
oct15055566
96408750
103431286
111a33a81
121195846
13931a61
1465467c
1547ba26
hex345b76

3431286 has 48 divisors (see below), whose sum is σ = 7987200. Its totient is φ = 1061424.

The previous prime is 3431261. The next prime is 3431287. The reversal of 3431286 is 6821343.

It is a happy number.

It is a super-2 number, since 2×34312862 = 23547447227592, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431287) 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 23 ways as a sum of consecutive naturals, for example, 26955 + ... + 27081.

It is an arithmetic number, because the mean of its divisors is an integer number (166400).

Almost surely, 23431286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993600).

3431286 is an abundant number, since it is smaller than the sum of its proper divisors (4555914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3431286 is a wasteful number, since it uses less digits than its factorization.

3431286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 230 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3431286 is about 1852.3730725747. The cubic root of 3431286 is about 150.8292735868.

The spelling of 3431286 in words is "three million, four hundred thirty-one thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 79 114 127 158 171 237 254 342 381 474 711 762 1143 1422 1501 2286 2413 3002 4503 4826 7239 9006 10033 13509 14478 20066 21717 27018 30099 43434 60198 90297 180594 190627 381254 571881 1143762 1715643 3431286