Search a number
-
+
3220379102340 = 22325153111685823
BaseRepresentation
bin101110110111001101100…
…011010110110010000100
3102101212100202102121211200
4232313031203112302010
5410230314022233330
610503231032302500
7451443665501451
oct56671543266204
912355322377750
103220379102340
111031834059114
1244016a541a30
131a48acc2c3ca
14b1c1d784828
1558b81d6aa60
hex2edcd8d6c84

3220379102340 has 72 divisors (see below), whose sum is σ = 9774864572928. Its totient is φ = 858206767680.

The previous prime is 3220379102333. The next prime is 3220379102341. The reversal of 3220379102340 is 432019730223.

3220379102340 is a `hidden beast` number, since 3 + 2 + 203 + 7 + 9 + 102 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3220379102295 and 3220379102304.

It is not an unprimeable number, because it can be changed into a prime (3220379102341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5567332 + ... + 6118491.

Almost surely, 23220379102340 is an apocalyptic number.

3220379102340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3220379102340 is an abundant number, since it is smaller than the sum of its proper divisors (6554485470588).

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

3220379102340 is a wasteful number, since it uses less digits than its factorization.

3220379102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11687369 (or 11687364 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 3220379102340 in words is "three trillion, two hundred twenty billion, three hundred seventy-nine million, one hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1531 3062 4593 6124 7655 9186 13779 15310 18372 22965 27558 30620 45930 55116 68895 91860 137790 275580 11685823 23371646 35057469 46743292 58429115 70114938 105172407 116858230 140229876 175287345 210344814 233716460 350574690 420689628 525862035 701149380 1051724070 2103448140 17890995013 35781990026 53672985039 71563980052 89454975065 107345970078 161018955117 178909950130 214691940156 268364925195 322037910234 357819900260 536729850390 644075820468 805094775585 1073459700780 1610189551170 3220379102340