Search a number
-
+
3444003400 = 235226576481
BaseRepresentation
bin1100110101000111…
…0101001001001000
322220000111111111111
43031101311021020
524023131102100
61325424540104
7151226355145
oct31521651110
98800444444
103444003400
111508060802
12801481634
1342b691946
142495833cc
1515254a6ba
hexcd475248

3444003400 has 48 divisors (see below), whose sum is σ = 8011557540. Its totient is φ = 1376870400.

The previous prime is 3444003397. The next prime is 3444003413. The reversal of 3444003400 is 43004443.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2442534084 + 1001469316 = 49422^2 + 31646^2 .

It is a super-2 number, since 2×34440034002 = 23722318838423120000, which contains 22 as substring.

It is a zygodrome in base 3 and base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528160 + ... + 534640.

Almost surely, 23444003400 is an apocalyptic number.

It is an amenable number.

3444003400 is an abundant number, since it is smaller than the sum of its proper divisors (4567554140).

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

3444003400 is a wasteful number, since it uses less digits than its factorization.

3444003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9154 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3444003400 is about 58685.6319724002. The cubic root of 3444003400 is about 1510.1538372279.

Adding to 3444003400 its reverse (43004443), we get a palindrome (3487007843).

The spelling of 3444003400 in words is "three billion, four hundred forty-four million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2657 5314 6481 10628 12962 13285 21256 25924 26570 32405 51848 53140 64810 66425 106280 129620 132850 162025 259240 265700 324050 531400 648100 1296200 17220017 34440034 68880068 86100085 137760136 172200170 344400340 430500425 688800680 861000850 1722001700 3444003400