Search a number
BaseRepresentation
bin10000101011110111110000
322020020000000
4100223313300
52104432000
6233430000
752115121
oct20536760
98206000
104374000
112518284
12156b300
13ba1b87
1481c048
155b6000
hex42bdf0

4374000 has 160 divisors (see below), whose sum is σ = 15862080. Its totient is φ = 1166400.

The previous prime is 4373989. The next prime is 4374001. The reversal of 4374000 is 4734.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874798 + ... + 874802.

It is an arithmetic number, because the mean of its divisors is an integer number (99138).

Almost surely, 24374000 is an apocalyptic number.

4374000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931040).

4374000 is an abundant number, since it is smaller than the sum of its proper divisors (11488080).

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

4374000 is an frugal number, since it uses more digits than its factorization.

4374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 10 counting only the distinct ones).

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

The square root of 4374000 is about 2091.4110069520. The cubic root of 4374000 is about 163.5408533549.

Adding to 4374000 its reverse (4734), we get a palindrome (4378734).

The spelling of 4374000 in words is "four million, three hundred seventy-four thousand".