Search a number
-
+
345243834012 = 223711537049821
BaseRepresentation
bin1010000011000100010…
…00101101011010011100
31020000010122011221012010
411001202020231122130
521124024410142022
6422334113311220
733641315112060
oct5014210553234
91200118157163
10345243834012
11123465164460
1256ab1565510
1326730403a1c
14129d1d23aa0
158ea971450c
hex506222d69c

345243834012 has 96 divisors (see below), whose sum is σ = 1023295762944. Its totient is φ = 87981753600.

The previous prime is 345243833993. The next prime is 345243834031. The reversal of 345243834012 is 210438342543.

It is an interprime number because it is at equal distance from previous prime (345243833993) and next prime (345243834031).

It is a super-2 number, since 2×3452438340122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3475939 + ... + 3573882.

It is an arithmetic number, because the mean of its divisors is an integer number (10659330864).

Almost surely, 2345243834012 is an apocalyptic number.

It is an amenable number.

345243834012 is an abundant number, since it is smaller than the sum of its proper divisors (678051928932).

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

345243834012 is a wasteful number, since it uses less digits than its factorization.

345243834012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049899 (or 7049897 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 345243834012 in words is "three hundred forty-five billion, two hundred forty-three million, eight hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 53 66 77 84 106 132 154 159 212 231 308 318 371 462 583 636 742 924 1113 1166 1484 1749 2226 2332 3498 4081 4452 6996 8162 12243 16324 24486 48972 7049821 14099642 21149463 28199284 42298926 49348747 77548031 84597852 98697494 148046241 155096062 197394988 232644093 296092482 310192124 373640513 465288186 542836217 592184964 747281026 930576372 1085672434 1120921539 1494562052 1628508651 2171344868 2241843078 2615483591 3257017302 4110045643 4483686156 5230967182 6514034604 7846450773 8220091286 10461934364 12330136929 15692901546 16440182572 24660273858 28770319501 31385803092 49320547716 57540639002 86310958503 115081278004 172621917006 345243834012