Search a number
-
+
244040004 = 2232132572029
BaseRepresentation
bin11101000101111…
…00000101000100
3122000012111221200
432202330011010
5444433240004
640114342500
76022206615
oct1642740504
9560174850
10244040004
1111583295a
126988aa30
133b736990
14245a7c0c
1516658239
hexe8bc144

244040004 has 72 divisors (see below), whose sum is σ = 667244760. Its totient is φ = 74760192.

The previous prime is 244039987. The next prime is 244040023. The reversal of 244040004 is 400040442.

It is a happy number.

244040004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 144000000 + 100040004 = 12000^2 + 10002^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 119262 + ... + 121290.

Almost surely, 2244040004 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 244040004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333622380).

244040004 is an abundant number, since it is smaller than the sum of its proper divisors (423204756).

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

244040004 is a wasteful number, since it uses less digits than its factorization.

244040004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 244040004 is about 15621.7797961692. The cubic root of 244040004 is about 624.9141249480.

Adding to 244040004 its reverse (400040442), we get a palindrome (644080446).

The spelling of 244040004 in words is "two hundred forty-four million, forty thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 257 468 514 771 1028 1542 2029 2313 3084 3341 4058 4626 6087 6682 8116 9252 10023 12174 13364 18261 20046 24348 26377 30069 36522 40092 52754 60138 73044 79131 105508 120276 158262 237393 316524 474786 521453 949572 1042906 1564359 2085812 3128718 4693077 6257436 6778889 9386154 13557778 18772308 20336667 27115556 40673334 61010001 81346668 122020002 244040004