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4344144 = 243721847
BaseRepresentation
bin10000100100100101010000
322011201001020
4100210211100
52103003034
6233035440
751632100
oct20444520
98151036
104344144
1124a7902
121555b80
13b913cc
14811200
155ac249
hex424950

4344144 has 60 divisors (see below), whose sum is σ = 13061664. Its totient is φ = 1240512.

The previous prime is 4344143. The next prime is 4344149. The reversal of 4344144 is 4414434.

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 not an unprimeable number, because it can be changed into a prime (4344143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1429 + ... + 3275.

Almost surely, 24344144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530832).

4344144 is an abundant number, since it is smaller than the sum of its proper divisors (8717520).

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

4344144 is a wasteful number, since it uses less digits than its factorization.

4344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1859 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 4344144 is about 2084.2610201220. The cubic root of 4344144 is about 163.1679050689.

Adding to 4344144 its reverse (4414434), we get a palindrome (8758578).

The spelling of 4344144 in words is "four million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1847 2352 3694 5541 7388 11082 12929 14776 22164 25858 29552 38787 44328 51716 77574 88656 90503 103432 155148 181006 206864 271509 310296 362012 543018 620592 724024 1086036 1448048 2172072 4344144