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3344424561 = 323725212
BaseRepresentation
bin1100011101010111…
…1101111001110001
322122002010101000100
43013111331321301
523322133041221
61311510343013
7145610065632
oct30725757161
98562111010
103344424561
111466927745
1279405aa69
13413b67a5a
1423a261889
1514892a926
hexc757de71

3344424561 has 27 divisors (see below), whose sum is σ = 4974475233. Its totient is φ = 2165192640.

The previous prime is 3344424539. The next prime is 3344424581. The reversal of 3344424561 is 1654244433.

The square root of 3344424561 is 57831.

It is a perfect power (a square), and thus also a powerful number.

3344424561 is a `hidden beast` number, since 3 + 34 + 44 + 24 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 181037025 + 3163387536 = 13455^2 + 56244^2 .

It is not a de Polignac number, because 3344424561 - 229 = 2807553649 is a prime.

It is a super-2 number, since 2×33444245612 = 22370351288440085442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3344424511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6418981 + ... + 6419501.

Almost surely, 23344424561 is an apocalyptic number.

3344424561 is the 57831-st square number.

3344424561 is the 28916-th centered octagonal number.

It is an amenable number.

3344424561 is a deficient number, since it is larger than the sum of its proper divisors (1630050672).

3344424561 is an frugal number, since it uses more digits than its factorization.

3344424561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 561 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The cubic root of 3344424561 is about 1495.4565573138.

Multiplying 3344424561 by its sum of digits (36), we get a square (120399284196 = 3469862).

Adding to 3344424561 its reverse (1654244433), we get a palindrome (4998668994).

The spelling of 3344424561 in words is "three billion, three hundred forty-four million, four hundred twenty-four thousand, five hundred sixty-one".

Divisors: 1 3 9 37 111 333 521 1369 1563 4107 4689 12321 19277 57831 173493 271441 713249 814323 2139747 2442969 6419241 10043317 30129951 90389853 371602729 1114808187 3344424561