Search a number
-
+
3023235072 = 2113211133137
BaseRepresentation
bin1011010000110010…
…1110100000000000
321210200202020212100
42310030232200000
522142422010242
61215554230400
7134630034264
oct26414564000
97720666770
103023235072
1113115a0290
12704585400
1339245b2c0
142097340a4
1512a63354c
hexb432e800

3023235072 has 576 divisors, whose sum is σ = 10875271680. Its totient is φ = 796262400.

The previous prime is 3023235053. The next prime is 3023235073. The reversal of 3023235072 is 2705323203.

3023235072 is a `hidden beast` number, since 302 + 3 + 2 + 350 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023235073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81709038 + ... + 81709074.

It is an arithmetic number, because the mean of its divisors is an integer number (18880680).

Almost surely, 23023235072 is an apocalyptic number.

3023235072 is a gapful number since it is divisible by the number (32) 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 3023235072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437635840).

3023235072 is an abundant number, since it is smaller than the sum of its proper divisors (7852036608).

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

3023235072 is a wasteful number, since it uses less digits than its factorization.

3023235072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 3023235072 is about 54983.9528589933. The cubic root of 3023235072 is about 1445.9634179780.

Adding to 3023235072 its reverse (2705323203), we get a palindrome (5728558275).

The spelling of 3023235072 in words is "three billion, twenty-three million, two hundred thirty-five thousand, seventy-two".