Search a number
BaseRepresentation
bin1000110001100111110000
311022212120000
420301213300
51042103100
6121150000
725360464
oct10614760
94285500
102300400
111331363
1292b300
136270ab
1443c4a4
15306900
hex2319f0

2300400 has 150 divisors (see below), whose sum is σ = 8372232. Its totient is φ = 604800.

The previous prime is 2300399. The next prime is 2300413. The reversal of 2300400 is 40032.

Adding to 2300400 its reverse (40032), we get a palindrome (2340432).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32365 + ... + 32435.

22300400 is an apocalyptic number.

2300400 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 2300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186116).

2300400 is an abundant number, since it is smaller than the sum of its proper divisors (6071832).

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

2300400 is a wasteful number, since it uses less digits than its factorization.

2300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2300400 is about 1516.7069591717. The cubic root of 2300400 is about 132.0082639454.

The spelling of 2300400 in words is "two million, three hundred thousand, four hundred".