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343707400434 = 2313118111512099
BaseRepresentation
bin1010000000001101000…
…11101011100011110010
31012212011120010000112210
411000012203223203302
521112403043303214
6421521430232550
733555250461636
oct5000643534362
91185146100483
10343707400434
1112284695a142
1256742ab5756
1326546cc6328
14128c7c58dc6
158e198beb59
hex50068eb8f2

343707400434 has 64 divisors (see below), whose sum is σ = 697426329600. Its totient is φ = 112914360000.

The previous prime is 343707400433. The next prime is 343707400481. The reversal of 343707400434 is 434004707343.

It is a super-2 number, since 2×3437074004342 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343707400392 and 343707400401.

It is not an unprimeable number, because it can be changed into a prime (343707400433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163747117 + ... + 163749215.

It is an arithmetic number, because the mean of its divisors is an integer number (10897286400).

Almost surely, 2343707400434 is an apocalyptic number.

343707400434 is an abundant number, since it is smaller than the sum of its proper divisors (353718929166).

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

343707400434 is a wasteful number, since it uses less digits than its factorization.

343707400434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567.

The product of its (nonzero) digits is 338688, while the sum is 39.

The spelling of 343707400434 in words is "three hundred forty-three billion, seven hundred seven million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 131 181 262 362 393 543 786 1086 1151 2099 2302 3453 4198 6297 6906 12594 23711 47422 71133 142266 150781 208331 274969 301562 379919 416662 452343 549938 624993 759838 824907 904686 1139757 1249986 1649814 2279514 2415949 4831898 7247847 14495694 27291361 49769389 54582722 81874083 99538778 149308167 163748166 298616334 316489319 437286769 632978638 874573538 949467957 1311860307 1898935914 2623720614 57284566739 114569133478 171853700217 343707400434