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74424 = 2337443
BaseRepresentation
bin10010001010111000
310210002110
4102022320
54340144
61332320
7426660
oct221270
9123073
1074424
1150a09
12370a0
1327b4c
141d1a0
15170b9
hex122b8

74424 has 32 divisors (see below), whose sum is σ = 213120. Its totient is φ = 21216.

The previous prime is 74419. The next prime is 74441. The reversal of 74424 is 42447.

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.

It is a self number, because there is not a number n which added to its sum of digits gives 74424.

It is a congruent number.

It is an unprimeable number.

74424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

274424 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 74424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106560).

74424 is an abundant number, since it is smaller than the sum of its proper divisors (138696).

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

74424 is a wasteful number, since it uses less digits than its factorization.

74424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its digits is 896, while the sum is 21.

The square root of 74424 is about 272.8076245269. The cubic root of 74424 is about 42.0633963226.

The spelling of 74424 in words is "seventy-four thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 443 886 1329 1772 2658 3101 3544 5316 6202 9303 10632 12404 18606 24808 37212 74424