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2404000 = 2553601
BaseRepresentation
bin1001001010111010100000
311112010200001
421022322200
51103412000
6123305344
726301514
oct11127240
94463601
102404000
1113a2185
1297b254
136622b1
14468144
1532746a
hex24aea0

2404000 has 48 divisors (see below), whose sum is σ = 5916456. Its totient is φ = 960000.

The previous prime is 2403977. The next prime is 2404009. The reversal of 2404000 is 4042.

It can be written as a sum of positive squares in 4 ways, for example, as 1140624 + 1263376 = 1068^2 + 1124^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3700 + ... + 4300.

22404000 is an apocalyptic number.

2404000 is a gapful number since it is divisible by the number (20) 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 2404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958228).

2404000 is an abundant number, since it is smaller than the sum of its proper divisors (3512456).

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

2404000 is an equidigital number, since it uses as much as digits as its factorization.

2404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2404000 is about 1550.4837954651. The cubic root of 2404000 is about 133.9609301705.

Adding to 2404000 its reverse (4042), we get a palindrome (2408042).

The spelling of 2404000 in words is "two million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 601 800 1000 1202 2000 2404 3005 4000 4808 6010 9616 12020 15025 19232 24040 30050 48080 60100 75125 96160 120200 150250 240400 300500 480800 601000 1202000 2404000