Search a number
34428 = 22319151
BaseRepresentation
bin1000011001111100
31202020010
420121330
52100203
6423220
7202242
oct103174
952203
1034428
1123959
1217b10
1312894
14c792
15a303
hex867c

34428 has 24 divisors (see below), whose sum is σ = 85120. Its totient is φ = 10800.

The previous prime is 34421. The next prime is 34429. The reversal of 34428 is 82443.

It is a happy number.

34428 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34428.

It is not an unprimeable number, because it can be changed into a prime (34421) by changing a digit.

34428 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153 + ... + 303.

234428 is an apocalyptic number.

34428 is a gapful number since it is divisible by the number (38) 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 34428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42560).

34428 is an abundant number, since it is smaller than the sum of its proper divisors (50692).

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

34428 is a wasteful number, since it uses less digits than its factorization.

34428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 34428 is about 185.5478374975. The cubic root of 34428 is about 32.5314882199.

The spelling of 34428 in words is "thirty-four thousand, four hundred twenty-eight".