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412074 = 23313587
BaseRepresentation
bin1100100100110101010
3202221021000
41210212222
5101141244
612455430
73334245
oct1444652
9687230
10412074
11261663
1217a576
13115740
14aa25c
1582169
hex649aa

412074 has 32 divisors (see below), whose sum is σ = 987840. Its totient is φ = 126576.

The previous prime is 412073. The next prime is 412081. The reversal of 412074 is 470214.

412074 = 1722 + 1732 + ... + 1842.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (412073) 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, 409 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2412074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

412074 is an abundant number, since it is smaller than the sum of its proper divisors (575766).

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

412074 is a wasteful number, since it uses less digits than its factorization.

412074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 412074 is about 641.9299027152. The cubic root of 412074 is about 74.4146433196.

Adding to 412074 its reverse (470214), we get a palindrome (882288).

The spelling of 412074 in words is "four hundred twelve thousand, seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 587 702 1174 1761 3522 5283 7631 10566 15262 15849 22893 31698 45786 68679 137358 206037 412074