Search a number
-
+
244034112 = 2637225939
BaseRepresentation
bin11101000101110…
…10101001000000
3122000012012212110
432202322221000
5444433042422
640114255320
76022153500
oct1642725100
9560165773
10244034112
11115829493
1269887540
133b7340aa
14245a5a00
151665660c
hexe8baa40

244034112 has 84 divisors (see below), whose sum is σ = 751118640. Its totient is φ = 69721344.

The previous prime is 244034069. The next prime is 244034113. The reversal of 244034112 is 211430442.

244034112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (244034113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3562 + ... + 22377.

Almost surely, 2244034112 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 244034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375559320).

244034112 is an abundant number, since it is smaller than the sum of its proper divisors (507084528).

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

244034112 is a wasteful number, since it uses less digits than its factorization.

244034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25968 (or 25951 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 244034112 is about 15621.5912121653. The cubic root of 244034112 is about 624.9090956856.

Adding to 244034112 its reverse (211430442), we get a palindrome (455464554).

The spelling of 244034112 in words is "two hundred forty-four million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 25939 51878 77817 103756 155634 181573 207512 311268 363146 415024 544719 622536 726292 830048 1089438 1245072 1271011 1452584 1660096 2178876 2490144 2542022 2905168 3813033 4357752 4980288 5084044 5810336 7626066 8715504 10168088 11620672 15252132 17431008 20336176 30504264 34862016 40672352 61008528 81344704 122017056 244034112