382246100 has 72 divisors (see below), whose sum is σ = 868303800. Its totient is φ = 145868800.

The previous prime is 382246093. The next prime is 382246121. The reversal of 382246100 is 1642283.

It can be written as a sum of positive squares in 12 ways, for example, as 167857936 + 214388164 = 12956^2 + 14642^2 .

It is a super-2 number, since 2×382246100² = 292224161930420000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 382246100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257360 + ... + 258840.

It is an arithmetic number, because the mean of its divisors is an integer number (12059775).

Almost surely, 2^382246100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382246100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434151900).

382246100 is an abundant number, since it is smaller than the sum of its proper divisors (486057700).

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

382246100 is a wasteful number, since it uses less digits than its factorization.

382246100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 382246100 is about 19551.1150577147. The cubic root of 382246100 is about 725.7399342222.

Adding to 382246100 its reverse (1642283), we get a palindrome (383888383).

The spelling of 382246100 in words is "three hundred eighty-two million, two hundred forty-six thousand, one hundred".