230340672 has 98 divisors (see below), whose sum is σ = 685448718. Its totient is φ = 76764672.

The previous prime is 230340659. The next prime is 230340683. The reversal of 230340672 is 276043032.

It can be written as a sum of positive squares in only one way, i.e., 191102976 + 39237696 = 13824^2 + 6264^2 .

It is a super-3 number, since 3×230340672³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 44188 + ... + 49124.

Almost surely, 2^230340672 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 230340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342724359).

230340672 is an abundant number, since it is smaller than the sum of its proper divisors (455108046).

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

230340672 is an frugal number, since it uses more digits than its factorization.

230340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 230340672 is about 15176.9783553908. The cubic root of 230340672 is about 612.9949214833.

The spelling of 230340672 in words is "two hundred thirty million, three hundred forty thousand, six hundred seventy-two".