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4374 = 237
BaseRepresentation
bin1000100010110
320000000
41010112
5114444
632130
715516
oct10426
96000
104374
113317
122646
131cb6
141846
151469
hex1116

4374 has 16 divisors (see below), whose sum is σ = 9840. Its totient is φ = 1458.

The previous prime is 4373. The next prime is 4391. The reversal of 4374 is 4734.

Subtracting from 4374 its sum of digits (18), we obtain a square (4356 = 662).

4374 divided by its sum of digits (18) gives a 5-th power (243 = 35).

It can be divided in two parts, 437 and 4, that added together give a square (441 = 212).

It is an ABA number since it can be written as A⋅BA, here for A=6, B=3.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 5, base 15 and base 16.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1457 + 1458 + 1459.

It is an arithmetic number, because the mean of its divisors is an integer number (615).

It is a practical number, because each smaller number is the sum of distinct divisors of 4374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920).

4374 is an abundant number, since it is smaller than the sum of its proper divisors (5466).

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

4374 is an frugal number, since it uses more digits than its factorization.

4374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23 (or 5 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 4374 is about 66.1362230551. The cubic root of 4374 is about 16.3540853355.

The spelling of 4374 in words is "four thousand, three hundred seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374