Search a number
-
+
3328880000 = 275441611
BaseRepresentation
bin1100011001101010…
…1010110110000000
322120222212121212212
43012122222312000
523304143130000
61310153241252
7145331004335
oct30632526600
98528777785
103328880000
11145907a8a6
1278aa03228
134108845a4
1423817698c
151473a9c35
hexc66aad80

3328880000 has 80 divisors (see below), whose sum is σ = 8287237860. Its totient is φ = 1331520000.

The previous prime is 3328879997. The next prime is 3328880011. The reversal of 3328880000 is 888233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33288800002 = 22162884108800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 59195 + ... + 100805.

Almost surely, 23328880000 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 3328880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143618930).

3328880000 is an abundant number, since it is smaller than the sum of its proper divisors (4958357860).

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

3328880000 is an frugal number, since it uses more digits than its factorization.

3328880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41645 (or 41618 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 3328880000 is about 57696.4470309914. The cubic root of 3328880000 is about 1493.1360460743.

The spelling of 3328880000 in words is "three billion, three hundred twenty-eight million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 41611 80000 83222 166444 208055 332888 416110 665776 832220 1040275 1331552 1664440 2080550 2663104 3328880 4161100 5201375 5326208 6657760 8322200 10402750 13315520 16644400 20805500 26006875 26631040 33288800 41611000 52013750 66577600 83222000 104027500 133155200 166444000 208055000 332888000 416110000 665776000 832220000 1664440000 3328880000