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4348728 = 23352237
BaseRepresentation
bin10000100101101100111000
322011221100000
4100211230320
52103124403
6233113000
751651336
oct20455470
98157300
104348728
11250029a
121558760
13b93517
14812b56
155ad7a3
hex425b38

4348728 has 48 divisors (see below), whose sum is σ = 12219480. Its totient is φ = 1448928.

The previous prime is 4348727. The next prime is 4348759. The reversal of 4348728 is 8278434.

4348728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×43487282 = 37822870435968, which contains 22 as substring.

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 43 + 38 + 47 + 87 + 73 + 217 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 4348692 and 4348701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4348727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826 + ... + 3062.

Almost surely, 24348728 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 4348728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109740).

4348728 is an abundant number, since it is smaller than the sum of its proper divisors (7870752).

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

4348728 is a wasteful number, since it uses less digits than its factorization.

4348728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2242 counting only the distinct ones).

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

The square root of 4348728 is about 2085.3604005063. The cubic root of 4348728 is about 163.2252772266.

The spelling of 4348728 in words is "four million, three hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 2237 4474 6711 8948 13422 17896 20133 26844 40266 53688 60399 80532 120798 161064 181197 241596 362394 483192 543591 724788 1087182 1449576 2174364 4348728