Search a number
-
+
244000744 = 231323831229
BaseRepresentation
bin11101000101100…
…10011111101000
3122000010112002121
432202302133220
5444431010434
640113441024
76021654301
oct1642623750
9560115077
10244000744
11115806409
1269870174
133b721b50
14245977a8
151664b7b4
hexe8b27e8

244000744 has 64 divisors (see below), whose sum is σ = 520732800. Its totient is φ = 106334976.

The previous prime is 244000741. The next prime is 244000747. The reversal of 244000744 is 447000442.

It is an interprime number because it is at equal distance from previous prime (244000741) and next prime (244000747).

It is not an unprimeable number, because it can be changed into a prime (244000741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197922 + ... + 199150.

It is an arithmetic number, because the mean of its divisors is an integer number (8136450).

Almost surely, 2244000744 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 244000744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260366400).

244000744 is an abundant number, since it is smaller than the sum of its proper divisors (276732056).

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

244000744 is a wasteful number, since it uses less digits than its factorization.

244000744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 244000744 is about 15620.5231666548. The cubic root of 244000744 is about 624.8806120759.

The spelling of 244000744 in words is "two hundred forty-four million, seven hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 23 26 46 52 83 92 104 166 184 299 332 598 664 1079 1196 1229 1909 2158 2392 2458 3818 4316 4916 7636 8632 9832 15272 15977 24817 28267 31954 49634 56534 63908 99268 102007 113068 127816 198536 204014 226136 367471 408028 734942 816056 1326091 1469884 2346161 2652182 2939768 4692322 5304364 9384644 10608728 18769288 30500093 61000186 122000372 244000744