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344057326096 = 24112133312
BaseRepresentation
bin1010000000110110110…
…10100010101000010000
31012220001221120002022111
411000123122202220100
521114112133413341
6422020250315104
733600030006241
oct5003332425020
91186057502274
10344057326096
11122a06433500
1256820128a94
13265a1654733
141291c506cc8
158e3a491681
hex501b6a2a10

344057326096 has 45 divisors (see below), whose sum is σ = 732776225839. Its totient is φ = 156377962400.

The previous prime is 344057326091. The next prime is 344057326121. The reversal of 344057326096 is 690623750443.

The square root of 344057326096 is 586564.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344057326091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25802151 + ... + 25815481.

Almost surely, 2344057326096 is an apocalyptic number.

344057326096 is the 586564-th square number.

It is an amenable number.

344057326096 is an abundant number, since it is smaller than the sum of its proper divisors (388718899743).

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

344057326096 is an frugal number, since it uses more digits than its factorization.

344057326096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26692 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 49.

Multiplying 344057326096 by its sum of digits (49), we get a square (16858808978704 = 41059482).

The spelling of 344057326096 in words is "three hundred forty-four billion, fifty-seven million, three hundred twenty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 13331 26662 53324 106648 146641 213296 293282 586564 1173128 1613051 2346256 3226102 6452204 12904408 25808816 177715561 355431122 710862244 1421724488 1954871171 2843448976 3909742342 7819484684 15638969368 21503582881 31277938736 43007165762 86014331524 172028663048 344057326096