Search a number
-
+
3421215900 = 2233521267117
BaseRepresentation
bin1100101111101011…
…1001110010011100
322211102121202221000
43023322321302130
524001312402100
61323252310300
7150531566244
oct31372716234
98742552830
103421215900
1114a6207163
127b5912390
13426a4380b
14246530b24
15150548900
hexcbeb9c9c

3421215900 has 72 divisors (see below), whose sum is σ = 10998584240. Its totient is φ = 912323520.

The previous prime is 3421215877. The next prime is 3421215901. The reversal of 3421215900 is 95121243.

3421215900 is a `hidden beast` number, since 34 + 21 + 21 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421215901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630859 + ... + 636258.

Almost surely, 23421215900 is an apocalyptic number.

3421215900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3421215900 is an abundant number, since it is smaller than the sum of its proper divisors (7577368340).

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

3421215900 is a wasteful number, since it uses less digits than its factorization.

3421215900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267140 (or 1267127 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3421215900 is about 58491.1608706820. The cubic root of 3421215900 is about 1506.8157831590.

The spelling of 3421215900 in words is "three billion, four hundred twenty-one million, two hundred fifteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 1267117 2534234 3801351 5068468 6335585 7602702 11404053 12671170 15205404 19006755 22808106 25342340 31677925 34212159 38013510 45616212 57020265 63355850 68424318 76027020 95033775 114040530 126711700 136848636 171060795 190067550 228081060 285101325 342121590 380135100 570202650 684243180 855303975 1140405300 1710607950 3421215900