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344000504214 = 232154912337727
BaseRepresentation
bin1010000000110000000…
…01110010000110010110
31012212220222122020100100
411000120001302012112
521114003112113324
6422010500354530
733565440016623
oct5003001620626
91185828566310
10344000504214
11122987353374
12568050a5a46
132659294b213
1412914b5534a
158e354ba4c9
hex5018072196

344000504214 has 24 divisors (see below), whose sum is σ = 745815657600. Its totient is φ = 114592799088.

The previous prime is 344000504191. The next prime is 344000504297. The reversal of 344000504214 is 412405000443.

It is a happy number.

344000504214 is a `hidden beast` number, since 3 + 440 + 0 + 0 + 5 + 0 + 4 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6140982 + ... + 6196745.

It is an arithmetic number, because the mean of its divisors is an integer number (31075652400).

Almost surely, 2344000504214 is an apocalyptic number.

344000504214 is an abundant number, since it is smaller than the sum of its proper divisors (401815153386).

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

344000504214 is a wasteful number, since it uses less digits than its factorization.

344000504214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339284 (or 12339281 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 344000504214 its reverse (412405000443), we get a palindrome (756405504657).

The spelling of 344000504214 in words is "three hundred forty-four billion, five hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 1549 3098 4647 9294 13941 27882 12337727 24675454 37013181 74026362 111039543 222079086 19111139123 38222278246 57333417369 114666834738 172000252107 344000504214