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441303144 = 23337496963
BaseRepresentation
bin11010010011011…
…100000001101000
31010202101112002220
4122103130001220
51400433200034
6111442354040
713636005042
oct3223340150
91122345086
10441303144
11207116647
1210395b920
1370573329
1442876a92
1528b21749
hex1a4dc068

441303144 has 32 divisors (see below), whose sum is σ = 1133077920. Its totient is φ = 143125056.

The previous prime is 441303143. The next prime is 441303157.

441303144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (441303143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247594 + ... + 249369.

It is an arithmetic number, because the mean of its divisors is an integer number (35408685).

Almost surely, 2441303144 is an apocalyptic number.

It is an amenable number.

441303144 is an abundant number, since it is smaller than the sum of its proper divisors (691774776).

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

441303144 is a wasteful number, since it uses less digits than its factorization.

441303144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497009 (or 497005 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 441303144 is about 21007.2164743452. The cubic root of 441303144 is about 761.3406300621.

It can be divided in two parts, 44130 and 3144, that added together give a palindrome (47274).

The spelling of 441303144 in words is "four hundred forty-one million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 496963 993926 1490889 1987852 2981778 3975704 5963556 11927112 18387631 36775262 55162893 73550524 110325786 147101048 220651572 441303144