Search a number
-
+
3001436226 = 2323716372753
BaseRepresentation
bin1011001011100110…
…0100100001000010
321202011201202110200
42302321210201002
522121331424401
61213455110030
7134243533635
oct26271444102
97664652420
103001436226
111300261508
126b9212316
1338aa98189
1420689bc1c
15128779686
hexb2e64842

3001436226 has 48 divisors (see below), whose sum is σ = 6685379064. Its totient is φ = 972490752.

The previous prime is 3001436161. The next prime is 3001436231. The reversal of 3001436226 is 6226341003.

3001436226 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 436 + 226 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2869209225 + 132227001 = 53565^2 + 11499^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3001436226.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088866 + ... + 1091618.

Almost surely, 23001436226 is an apocalyptic number.

3001436226 is an abundant number, since it is smaller than the sum of its proper divisors (3683942838).

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

3001436226 is a wasteful number, since it uses less digits than its factorization.

3001436226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3001436226 is about 54785.3650713400. The cubic root of 3001436226 is about 1442.4796887368.

Adding to 3001436226 its reverse (6226341003), we get a palindrome (9227777229).

The spelling of 3001436226 in words is "three billion, one million, four hundred thirty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1637 2753 3274 4911 5506 8259 9822 14733 16518 24777 29466 49554 60569 101861 121138 181707 203722 305583 363414 545121 611166 916749 1090242 1833498 4506661 9013322 13519983 27039966 40559949 81119898 166746457 333492914 500239371 1000478742 1500718113 3001436226