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3402304000212 = 223131571000913879
BaseRepresentation
bin110001100000101001000…
…111110001000011010100
3110001020221102012222120010
4301200221013301003110
5421220404311001322
611122555154240220
7500544156556635
oct61405107610324
913036842188503
103402304000212
1110a19aaa01587
1246b480886070
131b8ab35b4080
14ba95b08988c
155d77d54e20c
hex318291f10d4

3402304000212 has 96 divisors (see below), whose sum is σ = 8605313516800. Its totient is φ = 1040015987712.

The previous prime is 3402304000201. The next prime is 3402304000213. The reversal of 3402304000212 is 2120004032043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402304000213) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 245133489 + ... + 245147367.

Almost surely, 23402304000212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402304000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302656758400).

3402304000212 is an abundant number, since it is smaller than the sum of its proper divisors (5203009516588).

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

3402304000212 is a wasteful number, since it uses less digits than its factorization.

3402304000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24065 (or 24063 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 3402304000212 its reverse (2120004032043), we get a palindrome (5522308032255).

The spelling of 3402304000212 in words is "three trillion, four hundred two billion, three hundred four million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1884 2041 4082 6123 8164 10009 12246 13879 20018 24492 27758 30027 40036 41637 55516 60054 83274 120108 130117 166548 180427 260234 360854 390351 520468 541281 721708 780702 1082562 1561404 1571413 2165124 2179003 3142826 4358006 4714239 6285652 6537009 8716012 9428478 13074018 18856956 20428369 26148036 28327039 40856738 56654078 61285107 81713476 84981117 113308156 122570214 138914911 169962234 245140428 277829822 339924468 416744733 555659644 833489466 1666978932 1805893843 3611787686 5417681529 7223575372 10835363058 21670726116 21809641027 43619282054 65428923081 87238564108 130857846162 261715692324 283525333351 567050666702 850576000053 1134101333404 1701152000106 3402304000212