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440006004 = 223212222389
BaseRepresentation
bin11010001110011…
…111010101110100
31010122221121202200
4122032133111310
51400120143004
6111354504500
713621663224
oct3216372564
91118847680
10440006004
11206410029
12103435130
137020aaa9
144261a084
1528967239
hex1a39f574

440006004 has 18 divisors (see below), whose sum is σ = 1112237490. Its totient is φ = 146668656.

The previous prime is 440005981. The next prime is 440006023. The reversal of 440006004 is 400600044.

It can be written as a sum of positive squares in only one way, i.e., 260499600 + 179506404 = 16140^2 + 13398^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 6111159 + ... + 6111230.

Almost surely, 2440006004 is an apocalyptic number.

It is an amenable number.

440006004 is an abundant number, since it is smaller than the sum of its proper divisors (672231486).

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

440006004 is a wasteful number, since it uses less digits than its factorization.

440006004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222399 (or 12222394 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 440006004 is about 20976.3200776495. The cubic root of 440006004 is about 760.5939516709.

Adding to 440006004 its reverse (400600044), we get a palindrome (840606048).

The spelling of 440006004 in words is "four hundred forty million, six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 12222389 24444778 36667167 48889556 73334334 110001501 146668668 220003002 440006004