Search a number
-
+
4328748 = 2233149269
BaseRepresentation
bin10000100000110100101100
322010220221000
4100200310230
52102004443
6232440300
751536154
oct20406454
98126830
104328748
112497286
121549090
13b873b8
14809764
155a78d3
hex420d2c

4328748 has 48 divisors (see below), whose sum is σ = 11340000. Its totient is φ = 1427904.

The previous prime is 4328719. The next prime is 4328749. The reversal of 4328748 is 8478234.

It is a super-3 number, since 3×43287483 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 44 + 33 + 222 + 82 + 76 + 47 + 82 .

It is not an unprimeable number, because it can be changed into a prime (4328749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15958 + ... + 16226.

It is an arithmetic number, because the mean of its divisors is an integer number (236250).

Almost surely, 24328748 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 4328748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670000).

4328748 is an abundant number, since it is smaller than the sum of its proper divisors (7011252).

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

4328748 is a wasteful number, since it uses less digits than its factorization.

4328748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4328748 is about 2080.5643465176. The cubic root of 4328748 is about 162.9749167871.

It can be divided in two parts, 432 and 8748, that multiplied together give a square (3779136 = 19442).

The spelling of 4328748 in words is "four million, three hundred twenty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 269 298 447 538 596 807 894 1076 1341 1614 1788 2421 2682 3228 4023 4842 5364 7263 8046 9684 14526 16092 29052 40081 80162 120243 160324 240486 360729 480972 721458 1082187 1442916 2164374 4328748