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441034016 = 2523599231
BaseRepresentation
bin11010010010011…
…010010100100000
31010201212211221012
4122102122110200
51400401042031
6111432520052
713633504313
oct3222322440
91121784835
10441034016
11206a52425
12103850028
13704aa997
144280697a
1528abbb2b
hex1a49a520

441034016 has 24 divisors (see below), whose sum is σ = 906038784. Its totient is φ = 210928960.

The previous prime is 441033961. The next prime is 441034021. The reversal of 441034016 is 610430144.

It is a super-2 number, since 2×4410340162 = 389022006538176512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 441033982 and 441034000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298880 + ... + 300351.

It is an arithmetic number, because the mean of its divisors is an integer number (37751616).

Almost surely, 2441034016 is an apocalyptic number.

441034016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

441034016 is an abundant number, since it is smaller than the sum of its proper divisors (465004768).

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

441034016 is a wasteful number, since it uses less digits than its factorization.

441034016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599264 (or 599256 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 441034016 is about 21000.8098891448. The cubic root of 441034016 is about 761.1858311442.

The spelling of 441034016 in words is "four hundred forty-one million, thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 599231 1198462 2396924 4793848 9587696 13782313 19175392 27564626 55129252 110258504 220517008 441034016