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3144432 = 243109601
BaseRepresentation
bin1011111111101011110000
312220202100110
423333223300
51301110212
6151221320
735504304
oct13775360
95822313
103144432
111858505
121077840
13861315
145bbd04
15421a3c
hex2ffaf0

3144432 has 40 divisors (see below), whose sum is σ = 8211280. Its totient is φ = 1036800.

The previous prime is 3144431. The next prime is 3144457. The reversal of 3144432 is 2344413.

It is a super-4 number, since 4×31444324 (a number of 27 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3144399 and 3144408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4932 + ... + 5532.

It is an arithmetic number, because the mean of its divisors is an integer number (205282).

Almost surely, 23144432 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 3144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105640).

3144432 is an abundant number, since it is smaller than the sum of its proper divisors (5066848).

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

3144432 is a wasteful number, since it uses less digits than its factorization.

3144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 3144432 is about 1773.2546348452. The cubic root of 3144432 is about 146.5032983528.

Adding to 3144432 its reverse (2344413), we get a palindrome (5488845).

The spelling of 3144432 in words is "three million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 601 654 872 1202 1308 1744 1803 2404 2616 3606 4808 5232 7212 9616 14424 28848 65509 131018 196527 262036 393054 524072 786108 1048144 1572216 3144432