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3330780500 = 2253292892
BaseRepresentation
bin1100011010000111…
…1010110101010100
322121010110011212202
43012201322311110
523310134434000
61310302104032
7145353111215
oct30641726524
98533404782
103330780500
11145a158763
1278b57b018
1341109b648
1423850d40c
15147632dd5
hexc687ad54

3330780500 has 108 divisors (see below), whose sum is σ = 7619518452. Its totient is φ = 1271916800.

The previous prime is 3330780493. The next prime is 3330780527. The reversal of 3330780500 is 50870333.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3330780500 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 18 ways, for example, as 3276875536 + 53904964 = 57244^2 + 7342^2 .

It is a super-2 number, since 2×33307805002 = 22188197478360500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37424456 + ... + 37424544.

Almost surely, 23330780500 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 3330780500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809759226).

3330780500 is an abundant number, since it is smaller than the sum of its proper divisors (4288737952).

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

3330780500 is an equidigital number, since it uses as much as digits as its factorization.

3330780500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 3330780500 is about 57712.9144992696. The cubic root of 3330780500 is about 1493.4201421466.

The spelling of 3330780500 in words is "three billion, three hundred thirty million, seven hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 89 100 116 125 145 178 250 290 356 445 500 580 725 841 890 1450 1682 1780 2225 2581 2900 3364 3625 4205 4450 5162 7250 7921 8410 8900 10324 11125 12905 14500 15842 16820 21025 22250 25810 31684 39605 42050 44500 51620 64525 74849 79210 84100 105125 129050 149698 158420 198025 210250 229709 258100 299396 322625 374245 396050 420500 459418 645250 748490 792100 918836 990125 1148545 1290500 1496980 1871225 1980250 2297090 3742450 3960500 4594180 5742725 6661561 7484900 9356125 11485450 13323122 18712250 22970900 26646244 28713625 33307805 37424500 57427250 66615610 114854500 133231220 166539025 333078050 666156100 832695125 1665390250 3330780500