Search a number
-
+
4334214440 = 235113958897
BaseRepresentation
bin1000000100101011…
…01101110100101000
3102012001120220110202
410002111231310220
532334024330230
61554025131332
7212256133463
oct40225556450
912161526422
104334214440
111924607506
12a0b629b48
13540c3b83a
142d18b22da
151a5791a45
hex10256dd28

4334214440 has 32 divisors (see below), whose sum is σ = 9838293480. Its totient is φ = 1718341632.

The previous prime is 4334214421. The next prime is 4334214497. The reversal of 4334214440 is 444124334.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1247078596 + 3087135844 = 35314^2 + 55562^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474929 + ... + 483968.

Almost surely, 24334214440 is an apocalyptic number.

4334214440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334214440 is an abundant number, since it is smaller than the sum of its proper divisors (5504079040).

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

4334214440 is a wasteful number, since it uses less digits than its factorization.

4334214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959021 (or 959017 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 4334214440 is about 65834.7510058328. The cubic root of 4334214440 is about 1630.4349072230.

Adding to 4334214440 its reverse (444124334), we get a palindrome (4778338774).

The spelling of 4334214440 in words is "four billion, three hundred thirty-four million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 958897 1917794 3835588 4794485 7671176 9588970 19177940 38355880 108355361 216710722 433421444 541776805 866842888 1083553610 2167107220 4334214440