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31444413 = 37111337283
BaseRepresentation
bin111011111110…
…0110110111101
32012011112121220
41313330312331
531022210123
63041543553
7531162450
oct167746675
965145556
1031444413
1116827720
12a644bb9
13668c580
144267497
152b61ce3
hex1dfcdbd

31444413 has 64 divisors (see below), whose sum is σ = 58017792. Its totient is φ = 14618880.

The previous prime is 31444403. The next prime is 31444453.

31444413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31444413 - 28 = 31444157 is a prime.

It is a super-2 number, since 2×314444132 = 1977502217829138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110970 + ... + 111252.

It is an arithmetic number, because the mean of its divisors is an integer number (906528).

Almost surely, 231444413 is an apocalyptic number.

31444413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31444413 is a deficient number, since it is larger than the sum of its proper divisors (26573379).

31444413 is a wasteful number, since it uses less digits than its factorization.

31444413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354.

The product of its digits is 2304, while the sum is 24.

The square root of 31444413 is about 5607.5318099856. The cubic root of 31444413 is about 315.6320993469.

It can be divided in two parts, 3144 and 4413, that added together give a palindrome (7557).

The spelling of 31444413 in words is "thirty-one million, four hundred forty-four thousand, four hundred thirteen".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 283 407 429 481 777 849 1001 1221 1443 1981 2849 3003 3113 3367 3679 5291 5943 8547 9339 10101 10471 11037 15873 21791 25753 31413 37037 40469 65373 73297 77259 111111 115181 121407 136123 219891 283283 345543 408369 806267 849849 952861 1497353 2418801 2858583 4492059 10481471 31444413