Search a number
-
+
3028734720 = 283351131257
BaseRepresentation
bin1011010010000110…
…1101001100000000
321211002002122222000
42310201231030000
522200324002340
61220312144000
7135024551244
oct26441551400
97732078860
103028734720
111314707250
12706398000
1339363562b
1420a366424
1512ad6cd30
hexb486d300

3028734720 has 576 divisors, whose sum is σ = 12150190080. Its totient is φ = 707788800.

The previous prime is 3028734719. The next prime is 3028734749. The reversal of 3028734720 is 274378203.

3028734720 is a `hidden beast` number, since 30 + 287 + 347 + 2 + 0 = 666.

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

It is a super-3 number, since 3×30287347203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11784832 + ... + 11785088.

It is an arithmetic number, because the mean of its divisors is an integer number (21094080).

Almost surely, 23028734720 is an apocalyptic number.

3028734720 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 3028734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075095040).

3028734720 is an abundant number, since it is smaller than the sum of its proper divisors (9121455360).

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

3028734720 is a wasteful number, since it uses less digits than its factorization.

3028734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3028734720 is about 55033.9415270249. The cubic root of 3028734720 is about 1446.8396837908.

The spelling of 3028734720 in words is "three billion, twenty-eight million, seven hundred thirty-four thousand, seven hundred twenty".