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478344 = 233191049
BaseRepresentation
bin1110100110010001000
3220022011110
41310302020
5110301334
614130320
74031406
oct1646210
9808143
10478344
112a7429
121b09a0
13139959
14c6476
1596ae9
hex74c88

478344 has 32 divisors (see below), whose sum is σ = 1260000. Its totient is φ = 150912.

The previous prime is 478343. The next prime is 478351. The reversal of 478344 is 443874.

478344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 4 + 76 + 35 + 85 + 48 + 49 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478344.

It is not an unprimeable number, because it can be changed into a prime (478343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (39375).

2478344 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 478344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630000).

478344 is an abundant number, since it is smaller than the sum of its proper divisors (781656).

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

478344 is a wasteful number, since it uses less digits than its factorization.

478344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 478344 is about 691.6241754016. The cubic root of 478344 is about 78.2072071205.

The spelling of 478344 in words is "four hundred seventy-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1049 2098 3147 4196 6294 8392 12588 19931 25176 39862 59793 79724 119586 159448 239172 478344