Search a number
-
+
31000044 = 22317236607
BaseRepresentation
bin111011001000…
…0010111101100
32011022222001210
41312100113230
530414000134
63024234420
7524332065
oct166202754
964288053
1031000044
1116553879
12a46ba10
13656522a
14418d56c
152ac52e9
hex1d905ec

31000044 has 48 divisors (see below), whose sum is σ = 79930368. Its totient is φ = 9301248.

The previous prime is 31000003. The next prime is 31000063. The reversal of 31000044 is 44000013.

It is a super-2 number, since 2×310000442 = 1922005456003872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30999993 and 31000029.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1389 + ... + 7995.

It is an arithmetic number, because the mean of its divisors is an integer number (1665216).

Almost surely, 231000044 is an apocalyptic number.

31000044 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31000044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39965184).

31000044 is an abundant number, since it is smaller than the sum of its proper divisors (48930324).

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

31000044 is a wasteful number, since it uses less digits than its factorization.

31000044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6654 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 31000044 is about 5567.7683141453. The cubic root of 31000044 is about 314.1382138635.

Adding to 31000044 its reverse (44000013), we get a palindrome (75000057).

The spelling of 31000044 in words is "thirty-one million, forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 6607 13214 19821 26428 39642 79284 112319 151961 224638 303922 336957 449276 455883 607844 673914 911766 1347828 1823532 2583337 5166674 7750011 10333348 15500022 31000044