Search a number
-
+
4384380 = 22357111373
BaseRepresentation
bin10000101110011001111100
322020202020110
4100232121330
52110300010
6233550020
752160310
oct20563174
98222213
104384380
112525060
121575310
13ba6810
14821b40
155b9120
hex42e67c

4384380 has 192 divisors, whose sum is σ = 16708608. Its totient is φ = 829440.

The previous prime is 4384379. The next prime is 4384433. The reversal of 4384380 is 834834.

4384380 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

4384380 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60024 + ... + 60096.

It is an arithmetic number, because the mean of its divisors is an integer number (87024).

Almost surely, 24384380 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 4384380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354304).

4384380 is an abundant number, since it is smaller than the sum of its proper divisors (12324228).

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

4384380 is a wasteful number, since it uses less digits than its factorization.

4384380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4384380 is about 2093.8911146476. The cubic root of 4384380 is about 163.6701181770.

The spelling of 4384380 in words is "four million, three hundred eighty-four thousand, three hundred eighty".