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440041968 = 24323055847
BaseRepresentation
bin11010001110101…
…000000111110000
31010200000110002200
4122032220013300
51400122320333
6111355343200
713622203122
oct3216500760
91120013080
10440041968
11206435053
12103451b00
1370221282
1442629212
1528972c13
hex1a3a81f0

440041968 has 30 divisors (see below), whose sum is σ = 1231506744. Its totient is φ = 146680608.

The previous prime is 440041967. The next prime is 440041981. The reversal of 440041968 is 869140044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440041961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1527780 + ... + 1528067.

Almost surely, 2440041968 is an apocalyptic number.

440041968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

440041968 is an abundant number, since it is smaller than the sum of its proper divisors (791464776).

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

440041968 is a wasteful number, since it uses less digits than its factorization.

440041968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055861 (or 3055852 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 440041968 is about 20977.1773124985. The cubic root of 440041968 is about 760.6146735515.

The spelling of 440041968 in words is "four hundred forty million, forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3055847 6111694 9167541 12223388 18335082 24446776 27502623 36670164 48893552 55005246 73340328 110010492 146680656 220020984 440041968