Search a number
-
+
5345344 = 26174
BaseRepresentation
bin10100011001000001000000
3101001120102201
4110121001000
52332022334
6310322544
763302044
oct24310100
911046381
105345344
113021044
121959454
131152034
149d2024
15708c14
hex519040

5345344 has 35 divisors (see below), whose sum is σ = 11270107. Its totient is φ = 2515456.

The previous prime is 5345323. The next prime is 5345359. The reversal of 5345344 is 4435435.

The square root of 5345344 is 2312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1658944 + 3686400 = 1288^2 + 1920^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=34.

It is a Duffinian number.

Its product of digits (14400) is a multiple of the sum of its prime factors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 314424 + ... + 314440.

Almost surely, 25345344 is an apocalyptic number.

5345344 is the 2312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5345344

5345344 is an abundant number, since it is smaller than the sum of its proper divisors (5924763).

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

5345344 is an frugal number, since it uses more digits than its factorization.

5345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 19 counting only the distinct ones).

The product of its digits is 14400, while the sum is 28.

The cubic root of 5345344 is about 174.8471481648.

Multiplying 5345344 by its product of digits (14400), we get a square (76972953600 = 2774402).

Subtracting from 5345344 its reverse (4435435), we obtain a palindrome (909909).

The spelling of 5345344 in words is "five million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 4913 9248 9826 18496 19652 39304 78608 83521 157216 167042 314432 334084 668168 1336336 2672672 5345344