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244311132 = 223132532273
BaseRepresentation
bin11101000111111…
…10010001011100
3122000201021212110
432203332101130
51000020424012
640124234020
76024416232
oct1643762134
9560637773
10244311132
111159a862a
126999b910
133b800200
1424638952
15166ad73c
hexe8fe45c

244311132 has 72 divisors (see below), whose sum is σ = 629206704. Its totient is φ = 73721856.

The previous prime is 244311127. The next prime is 244311163. The reversal of 244311132 is 231113442.

244311132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 244311099 and 244311108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106348 + ... + 108620.

It is an arithmetic number, because the mean of its divisors is an integer number (8738982).

Almost surely, 2244311132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314603352).

244311132 is an abundant number, since it is smaller than the sum of its proper divisors (384895572).

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

244311132 is a wasteful number, since it uses less digits than its factorization.

244311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2344 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 244311132 is about 15630.4552716803. The cubic root of 244311132 is about 625.1454654477.

Adding to 244311132 its reverse (231113442), we get a palindrome (475424574).

The spelling of 244311132 in words is "two hundred forty-four million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 169 212 318 338 507 636 676 689 1014 1378 2028 2067 2273 2756 4134 4546 6819 8268 8957 9092 13638 17914 26871 27276 29549 35828 53742 59098 88647 107484 118196 120469 177294 240938 354588 361407 384137 481876 722814 768274 1152411 1445628 1536548 1566097 2304822 3132194 4609644 4698291 6264388 9396582 18793164 20359261 40718522 61077783 81437044 122155566 244311132