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1644134112 = 253841191
BaseRepresentation
bin110000111111111…
…0111111011100000
311020120201200000000
41201333313323200
511331344242422
6431051300000
755512623625
oct14177677340
94216650000
101644134112
11774086325
1239a74a600
1320281922a
1411850234c
159951acac
hex61ff7ee0

1644134112 has 216 divisors, whose sum is σ = 4999542912. Its totient is φ = 531878400.

The previous prime is 1644134099. The next prime is 1644134203. The reversal of 1644134112 is 2114314461.

1644134112 is a `hidden beast` number, since 1 + 644 + 1 + 3 + 4 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×16441341123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 8607937 + ... + 8608127.

It is an arithmetic number, because the mean of its divisors is an integer number (23146032).

Almost surely, 21644134112 is an apocalyptic number.

1644134112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1644134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499771456).

1644134112 is an abundant number, since it is smaller than the sum of its proper divisors (3355408800).

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

1644134112 is an frugal number, since it uses more digits than its factorization.

1644134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 237 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1644134112 is about 40547.9236459772. The cubic root of 1644134112 is about 1180.2637809219.

Adding to 1644134112 its reverse (2114314461), we get a palindrome (3758448573).

The spelling of 1644134112 in words is "one billion, six hundred forty-four million, one hundred thirty-four thousand, one hundred twelve".