[go: up one dir, main page]

Search a number
-
+
10331244 = 22327113727
BaseRepresentation
bin100111011010…
…010001101100
3201102212210200
4213122101230
510121044434
61005233500
7153546150
oct47322154
921385720
1010331244
115917020
123562890
1321a9581
14152d060
15d91199
hex9da46c

10331244 has 72 divisors (see below), whose sum is σ = 32567808. Its totient is φ = 2682720.

The previous prime is 10331227. The next prime is 10331249. The reversal of 10331244 is 44213301.

10331244 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 not an unprimeable number, because it can be changed into a prime (10331249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909 + ... + 4635.

Almost surely, 210331244 is an apocalyptic number.

10331244 is a gapful number since it is divisible by the number (14) 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 10331244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283904).

10331244 is an abundant number, since it is smaller than the sum of its proper divisors (22236564).

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

10331244 is a wasteful number, since it uses less digits than its factorization.

10331244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10331244 is about 3214.2252565743. The cubic root of 10331244 is about 217.7964882423.

Adding to 10331244 its reverse (44213301), we get a palindrome (54544545).

The spelling of 10331244 in words is "ten million, three hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3727 7454 11181 14908 22362 26089 33543 40997 44724 52178 67086 78267 81994 104356 122991 134172 156534 163988 234801 245982 286979 313068 368973 469602 491964 573958 737946 860937 939204 1147916 1475892 1721874 2582811 3443748 5165622 10331244