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3131406 = 233103563
BaseRepresentation
bin1011111100100000001110
312220002111000
423330200032
51300201111
6151041130
735421315
oct13744016
95802430
103131406
111849743
1210701a6
13858405
145b727c
1541cc56
hex2fc80e

3131406 has 32 divisors (see below), whose sum is σ = 7038720. Its totient is φ = 1031832.

The previous prime is 3131377. The next prime is 3131419. The reversal of 3131406 is 6041313.

3131406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5281 + ... + 5843.

It is an arithmetic number, because the mean of its divisors is an integer number (219960).

Almost surely, 23131406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519360).

3131406 is an abundant number, since it is smaller than the sum of its proper divisors (3907314).

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

3131406 is a wasteful number, since it uses less digits than its factorization.

3131406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3131406 is about 1769.5779157754. The cubic root of 3131406 is about 146.3007187666.

Adding to 3131406 its reverse (6041313), we get a palindrome (9172719).

The spelling of 3131406 in words is "three million, one hundred thirty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 563 618 927 1126 1689 1854 2781 3378 5067 5562 10134 15201 30402 57989 115978 173967 347934 521901 1043802 1565703 3131406