Search a number
-
+
4434240030 = 2351150926399
BaseRepresentation
bin1000010000100110…
…10010001000011110
3102110000210201210020
410020103102020132
533040131140110
62012001053010
7214612263333
oct41023221036
912400721706
104434240030
111976016190
12a39027166
13558890b8c
14300cac98a
151ae44dd70
hex1084d221e

4434240030 has 64 divisors (see below), whose sum is σ = 11632896000. Its totient is φ = 1072814720.

The previous prime is 4434240001. The next prime is 4434240053. The reversal of 4434240030 is 300424344.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154771 + ... + 181169.

It is an arithmetic number, because the mean of its divisors is an integer number (181764000).

Almost surely, 24434240030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434240030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816448000).

4434240030 is an abundant number, since it is smaller than the sum of its proper divisors (7198655970).

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

4434240030 is a wasteful number, since it uses less digits than its factorization.

4434240030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26929.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4434240030 is about 66590.0895779545. The cubic root of 4434240030 is about 1642.8821061253.

Adding to 4434240030 its reverse (300424344), we get a palindrome (4734664374).

The spelling of 4434240030 in words is "four billion, four hundred thirty-four million, two hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 509 1018 1527 2545 3054 5090 5599 7635 11198 15270 16797 26399 27995 33594 52798 55990 79197 83985 131995 158394 167970 263990 290389 395985 580778 791970 871167 1451945 1742334 2903890 4355835 8711670 13437091 26874182 40311273 67185455 80622546 134370910 147808001 201556365 295616002 403112730 443424003 739040005 886848006 1478080010 2217120015 4434240030