289340100 has 297 divisors, whose sum is σ = 1095559437. Its totient is φ = 66134880.

The previous prime is 289340089. The next prime is 289340101. The reversal of 289340100 is 1043982.

The square root of 289340100 is 17010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 104162436 + 185177664 = 10206^2 + 13608^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (289340101) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 41334297 + ... + 41334303.

Almost surely, 2^289340100 is an apocalyptic number.

289340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

289340100 is the 17010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289340100

289340100 is an abundant number, since it is smaller than the sum of its proper divisors (806219337).

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

289340100 is an equidigital number, since it uses as much as digits as its factorization.

289340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 289340100 is about 661.4081505126.

The spelling of 289340100 in words is "two hundred eighty-nine million, three hundred forty thousand, one hundred".