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343112423112 = 23325389914157
BaseRepresentation
bin1001111111000110001…
…10000001011011001000
31012210122002120001002200
410333203012001123020
521110143240014422
6421342414000200
733534434322114
oct4774306013310
91183562501080
10343112423112
11122571021948
12565b77a6060
1326480968944
141286cc1c744
158dd25452ac
hex4fe31816c8

343112423112 has 48 divisors (see below), whose sum is σ = 946796083740. Its totient is φ = 112212866688.

The previous prime is 343112423099. The next prime is 343112423113. The reversal of 343112423112 is 211324211343.

343112423112 is a `hidden beast` number, since 34 + 311 + 2 + 4 + 2 + 311 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 286175782116 + 56936640996 = 534954^2 + 238614^2 .

It is a super-2 number, since 2×3431124231122 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (343112423113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44953263 + ... + 44960894.

Almost surely, 2343112423112 is an apocalyptic number.

It is an amenable number.

343112423112 is an abundant number, since it is smaller than the sum of its proper divisors (603683660628).

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

343112423112 is a wasteful number, since it uses less digits than its factorization.

343112423112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89914222 (or 89914215 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 343112423112 its reverse (211324211343), we get a palindrome (554436634455).

The spelling of 343112423112 in words is "three hundred forty-three billion, one hundred twelve million, four hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 89914157 179828314 269742471 359656628 539484942 719313256 809227413 1078969884 1618454826 2157939768 3236909652 4765450321 6473819304 9530900642 14296350963 19061801284 28592701926 38123602568 42889052889 57185403852 85778105778 114370807704 171556211556 343112423112