Search a number
-
+
3030921600 = 273527233753
BaseRepresentation
bin1011010010101000…
…0011000110000000
321211020012202210120
42310222003012000
522201403442400
61220431100240
7135052260060
oct26452030600
97736182716
103030921600
111315970293
12707071680
13393c1cb45
1420a7753a0
1512b150ca0
hexb4a83180

3030921600 has 768 divisors, whose sum is σ = 12457774080. Its totient is φ = 632586240.

The previous prime is 3030921599. The next prime is 3030921613. The reversal of 3030921600 is 61290303.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 57187174 + ... + 57187226.

It is an arithmetic number, because the mean of its divisors is an integer number (16221060).

Almost surely, 23030921600 is an apocalyptic number.

3030921600 is a gapful number since it is divisible by the number (30) 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 3030921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228887040).

3030921600 is an abundant number, since it is smaller than the sum of its proper divisors (9426852480).

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

3030921600 is a wasteful number, since it uses less digits than its factorization.

3030921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3030921600 is about 55053.8064079133. The cubic root of 3030921600 is about 1447.1878273594.

The spelling of 3030921600 in words is "three billion, thirty million, nine hundred twenty-one thousand, six hundred".