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412344 = 23332383
BaseRepresentation
bin1100100101010111000
3202221122000
41210222320
5101143334
612501000
73335112
oct1445270
9687560
10412344
11261889
1217a760
131158ba
14aa3b2
1582299
hex64ab8

412344 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 129888.

The previous prime is 412343. The next prime is 412387. The reversal of 412344 is 443214.

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

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 (412343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4927 + ... + 5009.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2412344 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 412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

412344 is an abundant number, since it is smaller than the sum of its proper divisors (797256).

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

412344 is a wasteful number, since it uses less digits than its factorization.

412344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 412344 is about 642.1401716136. The cubic root of 412344 is about 74.4308924780.

Adding to 412344 its reverse (443214), we get a palindrome (855558).

The spelling of 412344 in words is "four hundred twelve thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 83 92 108 138 166 184 207 216 249 276 332 414 498 552 621 664 747 828 996 1242 1494 1656 1909 1992 2241 2484 2988 3818 4482 4968 5727 5976 7636 8964 11454 15272 17181 17928 22908 34362 45816 51543 68724 103086 137448 206172 412344