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4329216 = 28321879
BaseRepresentation
bin10000100000111100000000
322010221120100
4100200330000
52102013331
6232442400
751540423
oct20407400
98127510
104329216
112497671
121549400
13b87688
148099ba
155a7ae6
hex420f00

4329216 has 54 divisors (see below), whose sum is σ = 12488840. Its totient is φ = 1442304.

The previous prime is 4329211. The next prime is 4329229. The reversal of 4329216 is 6129234.

It is a super-2 number, since 2×43292162 = 37484222349312, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 4329216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4329211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1365 + ... + 3243.

Almost surely, 24329216 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 4329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244420).

4329216 is an abundant number, since it is smaller than the sum of its proper divisors (8159624).

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

4329216 is a wasteful number, since it uses less digits than its factorization.

4329216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1884 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 4329216 is about 2080.6768129626. The cubic root of 4329216 is about 162.9807898874.

The spelling of 4329216 in words is "four million, three hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1879 2304 3758 5637 7516 11274 15032 16911 22548 30064 33822 45096 60128 67644 90192 120256 135288 180384 240512 270576 360768 481024 541152 721536 1082304 1443072 2164608 4329216