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3024130000 = 24541717789
BaseRepresentation
bin1011010001000000…
…1000111111010000
321210202102201110211
42310100020333100
522143134130000
61220025333504
7134640452353
oct26420107720
97722381424
103024130000
1113120516a1
12704937294
133926b2748
142098c829a
1512a75d7ba
hexb4408fd0

3024130000 has 100 divisors (see below), whose sum is σ = 7752846420. Its totient is φ = 1138432000.

The previous prime is 3024129989. The next prime is 3024130013. The reversal of 3024130000 is 314203.

It can be written as a sum of positive squares in 10 ways, for example, as 974938176 + 2049191824 = 31224^2 + 45268^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 161106 + ... + 178894.

Almost surely, 23024130000 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 3024130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876423210).

3024130000 is an abundant number, since it is smaller than the sum of its proper divisors (4728716420).

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

3024130000 is a wasteful number, since it uses less digits than its factorization.

3024130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17834 (or 17813 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3024130000 is about 54992.0903403389. The cubic root of 3024130000 is about 1446.1060803308.

Adding to 3024130000 its reverse (314203), we get a palindrome (3024444203).

The spelling of 3024130000 in words is "three billion, twenty-four million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 17789 21250 34000 35578 42500 71156 85000 88945 142312 170000 177890 284624 302413 355780 444725 604826 711560 889450 1209652 1423120 1512065 1778900 2223625 2419304 3024130 3557800 4447250 4838608 6048260 7115600 7560325 8894500 11118125 12096520 15120650 17789000 22236250 24193040 30241300 35578000 37801625 44472500 60482600 75603250 88945000 120965200 151206500 177890000 189008125 302413000 378016250 604826000 756032500 1512065000 3024130000