[go: up one dir, main page]

Search a number
-
+
3432345444 = 2232118667539
BaseRepresentation
bin1100110010010101…
…0110111101100100
322212012120012210100
43030211112331210
524012140023234
61324331024100
7151025312013
oct31445267544
98765505710
103432345444
111501518a30
127b959b030
1342913c548
14247bcaa7a
151514e6399
hexcc956f64

3432345444 has 36 divisors (see below), whose sum is σ = 9464953680. Its totient is φ = 1040104560.

The previous prime is 3432345443. The next prime is 3432345457. The reversal of 3432345444 is 4445432343.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3432345399 and 3432345408.

It is not an unprimeable number, because it can be changed into a prime (3432345443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4333374 + ... + 4334165.

It is an arithmetic number, because the mean of its divisors is an integer number (262915380).

Almost surely, 23432345444 is an apocalyptic number.

It is an amenable number.

3432345444 is an abundant number, since it is smaller than the sum of its proper divisors (6032608236).

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

3432345444 is a wasteful number, since it uses less digits than its factorization.

3432345444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8667560 (or 8667555 counting only the distinct ones).

The product of its digits is 276480, while the sum is 36.

The square root of 3432345444 is about 58586.2223052485. Note that the first 3 decimals coincide. The cubic root of 3432345444 is about 1508.4479534018.

Adding to 3432345444 its reverse (4445432343), we get a palindrome (7877777787).

The spelling of 3432345444 in words is "three billion, four hundred thirty-two million, three hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 8667539 17335078 26002617 34670156 52005234 78007851 95342929 104010468 156015702 190685858 286028787 312031404 381371716 572057574 858086361 1144115148 1716172722 3432345444