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3412041220 = 2257112921587
BaseRepresentation
bin1100101101011111…
…1001111000000100
322210210100122122001
43023113321320010
523441440304340
61322323515044
7150360605020
oct31327717004
98723318561
103412041220
1114a1010085
127b2828a84
13424b80803
14245223380
1514e83529a
hexcb5f9e04

3412041220 has 48 divisors (see below), whose sum is σ = 8196531840. Its totient is φ = 1168752384.

The previous prime is 3412041209. The next prime is 3412041293. The reversal of 3412041220 is 221402143.

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 15 ways as a sum of consecutive naturals, for example, 147267 + ... + 168853.

It is an arithmetic number, because the mean of its divisors is an integer number (170761080).

Almost surely, 23412041220 is an apocalyptic number.

It is an amenable number.

3412041220 is an abundant number, since it is smaller than the sum of its proper divisors (4784490620).

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

3412041220 is a wasteful number, since it uses less digits than its factorization.

3412041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22732 (or 22730 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3412041220 is about 58412.6803014551. The cubic root of 3412041220 is about 1505.4676339188.

Adding to 3412041220 its reverse (221402143), we get a palindrome (3633443363).

The spelling of 3412041220 in words is "three billion, four hundred twelve million, forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1129 2258 4516 5645 7903 11290 15806 21587 22580 31612 39515 43174 79030 86348 107935 151109 158060 215870 302218 431740 604436 755545 1511090 3022180 24371723 48743446 97486892 121858615 170602061 243717230 341204122 487434460 682408244 853010305 1706020610 3412041220