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1144467324 = 22327211132349
BaseRepresentation
bin100010000110111…
…0010111101111100
32221202111222000200
41010031302331330
54320440423244
6305321523500
740234545300
oct10415627574
92852458020
101144467324
11538027270
1227b343590
1315314ca00
14abdd5d00
156a71b669
hex44372f7c

1144467324 has 324 divisors, whose sum is σ = 3986728200. Its totient is φ = 273611520.

The previous prime is 1144467323. The next prime is 1144467347. The reversal of 1144467324 is 4237644411.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144467323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3279102 + ... + 3279450.

Almost surely, 21144467324 is an apocalyptic number.

1144467324 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 1144467324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993364100).

1144467324 is an abundant number, since it is smaller than the sum of its proper divisors (2842260876).

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

1144467324 is a wasteful number, since it uses less digits than its factorization.

1144467324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 385 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 1144467324 is about 33829.9767070567. The cubic root of 1144467324 is about 1046.0066988202.

The spelling of 1144467324 in words is "one billion, one hundred forty-four million, four hundred sixty-seven thousand, three hundred twenty-four".