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5347384 = 2371741137
BaseRepresentation
bin10100011001100000111000
3101001200020021
4110121200320
52332104014
6310340224
763311020
oct24314070
911050207
105347384
113022629
12195a674
131152c43
149d2a80
15709624
hex519838

5347384 has 64 divisors (see below), whose sum is σ = 12519360. Its totient is φ = 2088960.

The previous prime is 5347361. The next prime is 5347403. The reversal of 5347384 is 4837435.

It is a happy number.

5347384 is digitally balanced in base 5, because in such base 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 (34).

It is a d-powerful number, because it can be written as 55 + 39 + 49 + 75 + 314 + 83 + 49 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38964 + ... + 39100.

It is an arithmetic number, because the mean of its divisors is an integer number (195615).

Almost surely, 25347384 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 5347384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259680).

5347384 is an abundant number, since it is smaller than the sum of its proper divisors (7171976).

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

5347384 is a wasteful number, since it uses less digits than its factorization.

5347384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 5347384 is about 2312.4411343859. The cubic root of 5347384 is about 174.8693882561.

The spelling of 5347384 in words is "five million, three hundred forty-seven thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 17 28 34 41 56 68 82 119 136 137 164 238 274 287 328 476 548 574 697 952 959 1096 1148 1394 1918 2296 2329 2788 3836 4658 4879 5576 5617 7672 9316 9758 11234 16303 18632 19516 22468 32606 39032 39319 44936 65212 78638 95489 130424 157276 190978 314552 381956 668423 763912 1336846 2673692 5347384