Search a number
-
+
3023030430 = 2335753103293
BaseRepresentation
bin1011010000101111…
…1100100010011110
321210200100212011000
42310023330202132
522142343433210
61215550011130
7134625222540
oct26413744236
97720325130
103023030430
111311470562
127044a6aa6
133923b9104
142096bd690
1512a5e2ac0
hexb42fc89e

3023030430 has 256 divisors, whose sum is σ = 9510359040. Its totient is φ = 669067776.

The previous prime is 3023030429. The next prime is 3023030443. The reversal of 3023030430 is 340303203.

3023030430 is a `hidden beast` number, since 3 + 0 + 230 + 3 + 0 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10317364 + ... + 10317656.

It is an arithmetic number, because the mean of its divisors is an integer number (37149840).

Almost surely, 23023030430 is an apocalyptic number.

3023030430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023030430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

3023030430 is an abundant number, since it is smaller than the sum of its proper divisors (6487328610).

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

3023030430 is a wasteful number, since it uses less digits than its factorization.

3023030430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3023030430 is about 54982.0919027277. The cubic root of 3023030430 is about 1445.9307916119.

Adding to 3023030430 its reverse (340303203), we get a palindrome (3363333633).

The spelling of 3023030430 in words is "three billion, twenty-three million, thirty thousand, four hundred thirty".