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1344444444 = 223279755001
BaseRepresentation
bin101000000100010…
…1001100000011100
310110200210212001200
41100020221200130
510223134210234
6341224035500
745213406050
oct12010514034
93420725050
101344444444
1162a9a4012
12316302b90
131856c9775
14ca7adc60
157d06dd99
hex5022981c

1344444444 has 72 divisors (see below), whose sum is σ = 3924062688. Its totient is φ = 380160000.

The previous prime is 1344444443. The next prime is 1344444463. The reversal of 1344444444 is 4444444431.

1344444444 is a `hidden beast` number, since 134 + 44 + 44 + 444 = 666.

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

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

1344444444 is a modest number, since divided by 44444 gives 13444 as remainder.

It is a plaindrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1344444399 and 1344444408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344444443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3057 + ... + 51944.

Almost surely, 21344444444 is an apocalyptic number.

1344444444 is a gapful number since it is divisible by the number (14) 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 1344444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962031344).

1344444444 is an abundant number, since it is smaller than the sum of its proper divisors (2579618244).

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

1344444444 is a wasteful number, since it uses less digits than its factorization.

1344444444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55115 (or 55110 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

The square root of 1344444444 is about 36666.6666606061. Note that the first 5 decimals coincide. The cubic root of 1344444444 is about 1103.6913027112.

Adding to 1344444444 its reverse (4444444431), we get a palindrome (5788888875).

The spelling of 1344444444 in words is "one billion, three hundred forty-four million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1746 2037 2716 3492 4074 6111 8148 12222 24444 55001 110002 165003 220004 330006 385007 495009 660012 770014 990018 1155021 1540028 1980036 2310042 3465063 4620084 5335097 6930126 10670194 13860252 16005291 21340388 32010582 37345679 48015873 64021164 74691358 96031746 112037037 149382716 192063492 224074074 336111111 448148148 672222222 1344444444