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30993444 = 2232860929
BaseRepresentation
bin111011000111…
…0110000100100
32011022122000100
41312032300210
530413242234
63024144100
7524303616
oct166166044
964278010
1030993444
1116549919
12a468030
136562221
14418adb6
152ac3399
hex1d8ec24

30993444 has 18 divisors (see below), whose sum is σ = 78344630. Its totient is φ = 10331136.

The previous prime is 30993401. The next prime is 30993451. The reversal of 30993444 is 44439903.

30993444 is a `hidden beast` number, since 309 + 9 + 344 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30935844 + 57600 = 5562^2 + 240^2 .

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

It is a super-2 number, since 2×309934442 = 1921187141962272, which 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: 860929 = 30993444 / (3 + 0 + 9 + 9 + 3 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 30993399 and 30993408.

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, 430429 + ... + 430500.

Almost surely, 230993444 is an apocalyptic number.

It is an amenable number.

30993444 is an abundant number, since it is smaller than the sum of its proper divisors (47351186).

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

30993444 is a wasteful number, since it uses less digits than its factorization.

30993444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860939 (or 860934 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 30993444 is about 5567.1755855191. The cubic root of 30993444 is about 314.1159186332.

The spelling of 30993444 in words is "thirty million, nine hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 860929 1721858 2582787 3443716 5165574 7748361 10331148 15496722 30993444