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3023333300 = 22521315714813
BaseRepresentation
bin1011010000110100…
…0110011110110100
321210200221020121102
42310031012132310
522142433131200
61220000305232
7134630623541
oct26415063664
97720836542
103023333300
111311658069
12704612218
13392493c20
1420975bbc8
1512a6526d5
hexb43467b4

3023333300 has 72 divisors (see below), whose sum is σ = 7110779256. Its totient is φ = 1109122560.

The previous prime is 3023333281. The next prime is 3023333347. The reversal of 3023333300 is 33333203.

3023333300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1973314084 + 1050019216 = 44422^2 + 32404^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 196694 + ... + 211506.

It is an arithmetic number, because the mean of its divisors is an integer number (98760823).

Almost surely, 23023333300 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 3023333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555389628).

3023333300 is an abundant number, since it is smaller than the sum of its proper divisors (4087445956).

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

3023333300 is a wasteful number, since it uses less digits than its factorization.

3023333300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14997 (or 14990 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 20.

The square root of 3023333300 is about 54984.8460941740. The cubic root of 3023333300 is about 1445.9790780853.

Adding to 3023333300 its reverse (33333203), we get a palindrome (3056666503).

The spelling of 3023333300 in words is "three billion, twenty-three million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 157 260 314 325 628 650 785 1300 1570 2041 3140 3925 4082 7850 8164 10205 14813 15700 20410 29626 40820 51025 59252 74065 102050 148130 192569 204100 296260 370325 385138 740650 770276 962845 1481300 1925690 2325641 3851380 4651282 4814225 9302564 9628450 11628205 19256900 23256410 30233333 46512820 58141025 60466666 116282050 120933332 151166665 232564100 302333330 604666660 755833325 1511666650 3023333300