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444053034 = 23285328921
BaseRepresentation
bin11010011101111…
…011011000101010
31010221120020020200
4122131323120222
51402134144114
6112021333030
714001250155
oct3235733052
91127506220
10444053034
11208724687
12104867176
1370cc6b99
1442d90c9c
1528eb6409
hex1a77b62a

444053034 has 24 divisors (see below), whose sum is σ = 963276132. Its totient is φ = 147839040.

The previous prime is 444053023. The next prime is 444053059. The reversal of 444053034 is 430350444.

It can be written as a sum of positive squares in 2 ways, for example, as 434597409 + 9455625 = 20847^2 + 3075^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444052989 and 444053007.

It is an unprimeable number.

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, 894 + ... + 29814.

Almost surely, 2444053034 is an apocalyptic number.

444053034 is an abundant number, since it is smaller than the sum of its proper divisors (519223098).

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

444053034 is a wasteful number, since it uses less digits than its factorization.

444053034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29782 (or 29779 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 444053034 is about 21072.5659092575. The cubic root of 444053034 is about 762.9187360167.

The spelling of 444053034 in words is "four hundred forty-four million, fifty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 18 853 1706 2559 5118 7677 15354 28921 57842 86763 173526 260289 520578 24669613 49339226 74008839 148017678 222026517 444053034