Search a number
-
+
340200110112 = 2535096962183
BaseRepresentation
bin1001111001101011000…
…00011011100000100000
31012112010010112012201020
410330311200123200200
521033212212010422
6420141421005440
733402322136502
oct4746540334040
91175103465636
10340200110112
11121307102aa5
1255b243b3880
13261084a6605
141267411dd72
158cb1a2295c
hex4f3581b820

340200110112 has 48 divisors (see below), whose sum is σ = 894779887680. Its totient is φ = 113177230592.

The previous prime is 340200110093. The next prime is 340200110141. The reversal of 340200110112 is 211011002043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3402001101122 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340200110091 and 340200110100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3432228 + ... + 3529955.

It is an arithmetic number, because the mean of its divisors is an integer number (18641247660).

Almost surely, 2340200110112 is an apocalyptic number.

340200110112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340200110112 is an abundant number, since it is smaller than the sum of its proper divisors (554579777568).

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

340200110112 is a wasteful number, since it uses less digits than its factorization.

340200110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962705 (or 6962697 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 340200110112 its reverse (211011002043), we get a palindrome (551211112155).

The spelling of 340200110112 in words is "three hundred forty billion, two hundred million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 509 1018 1527 2036 3054 4072 6108 8144 12216 16288 24432 48864 6962183 13924366 20886549 27848732 41773098 55697464 83546196 111394928 167092392 222789856 334184784 668369568 3543751147 7087502294 10631253441 14175004588 21262506882 28350009176 42525013764 56700018352 85050027528 113400036704 170100055056 340200110112