Search a number
-
+
3381360300 = 2232523757067
BaseRepresentation
bin1100100110001011…
…0111011010101100
322201122121220022200
43021202313122230
523411112012200
61315310141500
7146536042203
oct31142673254
98648556280
103381360300
11148576504a
127a44b1890
1341b6ca916
1424111823a
1514bcc4800
hexc98b76ac

3381360300 has 54 divisors (see below), whose sum is σ = 10598688828. Its totient is φ = 901695840.

The previous prime is 3381360293. The next prime is 3381360319. The reversal of 3381360300 is 30631833.

It is a super-3 number, since 3×33813603003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1877634 + ... + 1879433.

Almost surely, 23381360300 is an apocalyptic number.

3381360300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3381360300 is an abundant number, since it is smaller than the sum of its proper divisors (7217328528).

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

3381360300 is a wasteful number, since it uses less digits than its factorization.

3381360300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757087 (or 3757077 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3381360300 is about 58149.4651738088. The cubic root of 3381360300 is about 1500.9416753746.

The spelling of 3381360300 in words is "three billion, three hundred eighty-one million, three hundred sixty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3757067 7514134 11271201 15028268 18785335 22542402 33813603 37570670 45084804 56356005 67627206 75141340 93926675 112712010 135254412 169068015 187853350 225424020 281780025 338136030 375706700 563560050 676272060 845340075 1127120100 1690680150 3381360300