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4441332 = 2237371429
BaseRepresentation
bin10000111100010011110100
322100122100210
4100330103310
52114110312
6235105420
752515330
oct20742364
98318323
104441332
112563925
1215a2270
13bc670c
148387c0
155cae3c
hex43c4f4

4441332 has 48 divisors (see below), whose sum is σ = 12172160. Its totient is φ = 1233792.

The previous prime is 4441313. The next prime is 4441351. The reversal of 4441332 is 2331444.

It is an interprime number because it is at equal distance from previous prime (4441313) and next prime (4441351).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

4441332 is a modest number, since divided by 1332 gives 444 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4441299 and 4441308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2394 + ... + 3822.

Almost surely, 24441332 is an apocalyptic number.

4441332 is a gapful number since it is divisible by the number (42) 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 4441332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086080).

4441332 is an abundant number, since it is smaller than the sum of its proper divisors (7730828).

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

4441332 is a wasteful number, since it uses less digits than its factorization.

4441332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1478 counting only the distinct ones).

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

The square root of 4441332 is about 2107.4467964815. The cubic root of 4441332 is about 164.3757495858.

Adding to 4441332 its reverse (2331444), we get a palindrome (6772776).

The spelling of 4441332 in words is "four million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1429 1554 2858 3108 4287 5716 8574 10003 17148 20006 30009 40012 52873 60018 105746 120036 158619 211492 317238 370111 634476 740222 1110333 1480444 2220666 4441332