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44370 = 23251729
BaseRepresentation
bin1010110101010010
32020212100
422311102
52404440
6541230
7243234
oct126522
966770
1044370
1130377
1221816
1317271
1412254
15d230
hexad52

44370 has 48 divisors (see below), whose sum is σ = 126360. Its totient is φ = 10752.

The previous prime is 44357. The next prime is 44371. The reversal of 44370 is 7344.

44370 is nontrivially palindromic in base 13.

44370 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40401 + 3969 = 201^2 + 63^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

44370 is strictly pandigital in base 6.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44370.

It is not an unprimeable number, because it can be changed into a prime (44371) 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, 1516 + ... + 1544.

244370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63180).

44370 is an abundant number, since it is smaller than the sum of its proper divisors (81990).

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

44370 is a wasteful number, since it uses less digits than its factorization.

44370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 44370 is about 210.6418761785. The cubic root of 44370 is about 35.4021639968.

It can be divided in two parts, 44 and 370, that added together give a palindrome (414).

The spelling of 44370 in words is "forty-four thousand, three hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 29 30 34 45 51 58 85 87 90 102 145 153 170 174 255 261 290 306 435 493 510 522 765 870 986 1305 1479 1530 2465 2610 2958 4437 4930 7395 8874 14790 22185 44370