Search a number
-
+
344322104120240 = 2453124478695423
BaseRepresentation
bin100111001001010001011110…
…0101101000101001110110000
31200011010212112110021222102212
41032102202330231011032300
5330112333132123321430
63220151220235431252
7132345310503433541
oct11622427455051660
91604125473258385
10344322104120240
119a791203354124
123274bb1bbb5528
1311a18586ba289c
1461053c8cb84c8
1529c191c53db95
hex13928bcb453b0

344322104120240 has 60 divisors (see below), whose sum is σ = 827206087421952. Its totient is φ = 133285975758720.

The previous prime is 344322104120227. The next prime is 344322104120341. The reversal of 344322104120240 is 42021401223443.

It is a happy number.

It is a super-2 number, since 2×3443221041202402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344322104120197 and 344322104120206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2239270832 + ... + 2239424591.

Almost surely, 2344322104120240 is an apocalyptic number.

It is an amenable number.

344322104120240 is an abundant number, since it is smaller than the sum of its proper divisors (482883983301712).

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

344322104120240 is a wasteful number, since it uses less digits than its factorization.

344322104120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478695498 (or 4478695461 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 344322104120240 its reverse (42021401223443), we get a palindrome (386343505343683).

The spelling of 344322104120240 in words is "three hundred forty-four trillion, three hundred twenty-two billion, one hundred four million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 961 1240 1922 2480 3844 4805 7688 9610 15376 19220 38440 76880 4478695423 8957390846 17914781692 22393477115 35829563384 44786954230 71659126768 89573908460 138839558113 179147816920 277679116226 358295633840 555358232452 694197790565 1110716464904 1388395581130 2221432929808 2776791162260 4304026301503 5553582324520 8608052603006 11107164649040 17216105206012 21520131507515 34432210412024 43040263015030 68864420824048 86080526030060 172161052060120 344322104120240