Search a number
-
+
434240304444 = 223212062230679
BaseRepresentation
bin1100101000110101011…
…11010011010100111100
31112111211221202001112200
412110122233103110330
524103311004220234
6531253124431500
743241610454332
oct6243257232474
91474757661480
10434240304444
11158184370971
12701aa248590
1331c4435140b
1417035835b52
15b467913d99
hex651abd353c

434240304444 has 18 divisors (see below), whose sum is σ = 1097662991880. Its totient is φ = 144746768136.

The previous prime is 434240304431. The next prime is 434240304479. The reversal of 434240304444 is 444403042434.

434240304444 is a `hidden beast` number, since 4 + 342 + 4 + 0 + 304 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×4342403044442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12062230679 = 434240304444 / (4 + 3 + 4 + 2 + 4 + 0 + 3 + 0 + 4 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 434240304399 and 434240304408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6031115304 + ... + 6031115375.

Almost surely, 2434240304444 is an apocalyptic number.

It is an amenable number.

434240304444 is an abundant number, since it is smaller than the sum of its proper divisors (663422687436).

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

434240304444 is a wasteful number, since it uses less digits than its factorization.

434240304444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12062230689 (or 12062230684 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 434240304444 its reverse (444403042434), we get a palindrome (878643346878).

The spelling of 434240304444 in words is "four hundred thirty-four billion, two hundred forty million, three hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 12062230679 24124461358 36186692037 48248922716 72373384074 108560076111 144746768148 217120152222 434240304444