Search a number
-
+
3420012012 = 2238315721871
BaseRepresentation
bin1100101111011001…
…0011110111101100
322211100100121111120
43023312103313230
524001010341022
61323210420540
7150515423334
oct31366236754
98740317446
103420012012
1114a556470a
127b5431750
13426711861
142462da0c4
151503abd5c
hexcbd93dec

3420012012 has 48 divisors (see below), whose sum is σ = 8127985152. Its totient is φ = 1119044160.

The previous prime is 3420011983. The next prime is 3420012019. The reversal of 3420012012 is 2102100243.

3420012012 is a modest number, since divided by 12012 gives 3420 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3420011982 and 3420012000.

It is not an unprimeable number, because it can be changed into a prime (3420012019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145437 + ... + 167307.

It is an arithmetic number, because the mean of its divisors is an integer number (169333024).

Almost surely, 23420012012 is an apocalyptic number.

It is an amenable number.

3420012012 is an abundant number, since it is smaller than the sum of its proper divisors (4707973140).

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

3420012012 is a wasteful number, since it uses less digits than its factorization.

3420012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22118 (or 22116 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3420012012 is about 58480.8687691966. The cubic root of 3420012012 is about 1506.6390184927.

Adding to 3420012012 its reverse (2102100243), we get a palindrome (5522112255).

The spelling of 3420012012 in words is "three billion, four hundred twenty million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 83 157 166 249 314 332 471 498 628 942 996 1884 13031 21871 26062 39093 43742 52124 65613 78186 87484 131226 156372 262452 1815293 3433747 3630586 5445879 6867494 7261172 10301241 10891758 13734988 20602482 21783516 41204964 285001001 570002002 855003003 1140004004 1710006006 3420012012