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343636665690 = 235412113373929
BaseRepresentation
bin1010000000000100101…
…01110110010101011010
31012211222122000022201110
411000002111312111122
521112231441300230
6421510422201150
733553431315123
oct5000225662532
91184878008643
10343636665690
1112280aa3707a
12567232831b6
132653545b256
14128bc6c504a
158e1359b4b0
hex500257655a

343636665690 has 128 divisors (see below), whose sum is σ = 851582833920. Its totient is φ = 88691097600.

The previous prime is 343636665683. The next prime is 343636665727. The reversal of 343636665690 is 96566636343.

It is a happy number.

343636665690 is a nontrivial binomial coefficient, being equal to C(829020, 2).

It is a super-2 number, since 2×3436366656902 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 343636665690.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87459646 + ... + 87463574.

It is an arithmetic number, because the mean of its divisors is an integer number (6652990890).

Almost surely, 2343636665690 is an apocalyptic number.

343636665690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

343636665690 is the 829019-th triangular number and also the 414510-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343636665690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425791416960).

343636665690 is an abundant number, since it is smaller than the sum of its proper divisors (507946168230).

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

343636665690 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (343636665689) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4528).

343636665690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528.

The product of its (nonzero) digits is 37791360, while the sum is 57.

The spelling of 343636665690 in words is "three hundred forty-three billion, six hundred thirty-six million, six hundred sixty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 211 246 337 410 422 615 633 674 1011 1055 1230 1266 1685 2022 2110 3165 3370 3929 5055 6330 7858 8651 10110 11787 13817 17302 19645 23574 25953 27634 39290 41451 43255 51906 58935 69085 71107 82902 86510 117870 129765 138170 142214 161089 207255 213321 259530 322178 355535 414510 426642 483267 711070 805445 829019 966534 1066605 1324073 1610890 1658038 2133210 2416335 2487057 2648146 2915387 3972219 4145095 4832670 4974114 5830774 6620365 7944438 8290190 8746161 12435285 13240730 14576935 17492322 19861095 24870570 29153870 33989779 39722190 43730805 54286993 67979558 87461610 101969337 108573986 162860979 169948895 203938674 271434965 279379403 325721958 339897790 509846685 542869930 558758806 814304895 838138209 1019693370 1396897015 1628609790 1676276418 2793794030 4190691045 8381382090 11454555523 22909111046 34363666569 57272777615 68727333138 114545555230 171818332845 343636665690