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4214328 = 233891973
BaseRepresentation
bin10000000100111000111000
321221002222020
4100010320320
52034324303
6230154440
750551446
oct20047070
97832866
104214328
112419318
1214b2a20
13b472b1
147b9b96
15583a53
hex404e38

4214328 has 32 divisors (see below), whose sum is σ = 10659600. Its totient is φ = 1388288.

The previous prime is 4214323. The next prime is 4214377. The reversal of 4214328 is 8234124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 4 + 28 + 1 + 42 + 39 + 222 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 4214298 and 4214307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214323) 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, 1150 + ... + 3122.

Almost surely, 24214328 is an apocalyptic number.

It is an amenable number.

4214328 is an abundant number, since it is smaller than the sum of its proper divisors (6445272).

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

4214328 is a wasteful number, since it uses less digits than its factorization.

4214328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2067 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4214328 is about 2052.8828510171. The cubic root of 4214328 is about 161.5261262515.

The spelling of 4214328 in words is "four million, two hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 89 178 267 356 534 712 1068 1973 2136 3946 5919 7892 11838 15784 23676 47352 175597 351194 526791 702388 1053582 1404776 2107164 4214328