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12412332 = 2233281409
BaseRepresentation
bin101111010110…
…010110101100
3212100121112000
4233112112230
511134143312
61122012300
7210334362
oct57262654
925317460
1012412332
117008629
1241a7090
13275789a
141911632
151152adc
hexbd65ac

12412332 has 48 divisors (see below), whose sum is σ = 32373600. Its totient is φ = 4112640.

The previous prime is 12412313. The next prime is 12412333. The reversal of 12412332 is 23321421.

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 (12412333) 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, 30144 + ... + 30552.

It is an arithmetic number, because the mean of its divisors is an integer number (674450).

Almost surely, 212412332 is an apocalyptic number.

12412332 is a gapful number since it is divisible by the number (12) 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 12412332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186800).

12412332 is an abundant number, since it is smaller than the sum of its proper divisors (19961268).

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

12412332 is a wasteful number, since it uses less digits than its factorization.

12412332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 12412332 is about 3523.1139635272. The cubic root of 12412332 is about 231.5356099018.

Adding to 12412332 its reverse (23321421), we get a palindrome (35733753).

The spelling of 12412332 in words is "twelve million, four hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 281 409 562 818 843 1124 1227 1636 1686 2454 2529 3372 3681 4908 5058 7362 7587 10116 11043 14724 15174 22086 30348 44172 114929 229858 344787 459716 689574 1034361 1379148 2068722 3103083 4137444 6206166 12412332