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342344121444 = 223213731504533
BaseRepresentation
bin1001111101101010100…
…11001011110001100100
31012201122112212021100100
410332311103023301210
521102110043341234
6421134250344100
733506415006423
oct4766523136144
91181575767310
10342344121444
11122207371496
125642242b030
132638a733a80
14127d8b852ba
158d89d80399
hex4fb54cbc64

342344121444 has 36 divisors (see below), whose sum is σ = 931936776316. Its totient is φ = 105336652608.

The previous prime is 342344121367. The next prime is 342344121463. The reversal of 342344121444 is 444121443243.

342344121444 is a `hidden beast` number, since 3 + 4 + 234 + 412 + 1 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109912140900 + 232431980544 = 331530^2 + 482112^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 342344121399 and 342344121408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365751799 + ... + 365752734.

Almost surely, 2342344121444 is an apocalyptic number.

It is an amenable number.

342344121444 is an abundant number, since it is smaller than the sum of its proper divisors (589592654872).

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

342344121444 is a wasteful number, since it uses less digits than its factorization.

342344121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731504556 (or 731504551 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 342344121444 its reverse (444121443243), we get a palindrome (786465564687).

The spelling of 342344121444 in words is "three hundred forty-two billion, three hundred forty-four million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 731504533 1463009066 2194513599 2926018132 4389027198 6583540797 8778054396 9509558929 13167081594 19019117858 26334163188 28528676787 38038235716 57057353574 85586030361 114114707148 171172060722 342344121444