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441144312 = 23372625859
BaseRepresentation
bin11010010010110…
…101001111111000
31010202002110020020
4122102311033320
51400413104222
6111435130440
713634444010
oct3222651770
91122073206
10441144312
11207018284
121038a3a20
1370518c4b
1442834c40
1528ade65c
hex1a4b53f8

441144312 has 32 divisors (see below), whose sum is σ = 1260412800. Its totient is φ = 126041184.

The previous prime is 441144307. The next prime is 441144323. The reversal of 441144312 is 213441144.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312762 + ... + 1313097.

It is an arithmetic number, because the mean of its divisors is an integer number (39387900).

Almost surely, 2441144312 is an apocalyptic number.

441144312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

441144312 is an abundant number, since it is smaller than the sum of its proper divisors (819268488).

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

441144312 is a wasteful number, since it uses less digits than its factorization.

441144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625875 (or 2625871 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 441144312 is about 21003.4357189485. The cubic root of 441144312 is about 761.2492795796.

Adding to 441144312 its reverse (213441144), we get a palindrome (654585456).

The spelling of 441144312 in words is "four hundred forty-one million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2625859 5251718 7877577 10503436 15755154 18381013 21006872 31510308 36762026 55143039 63020616 73524052 110286078 147048104 220572156 441144312