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342361026 = 23372353743
BaseRepresentation
bin10100011010000…
…000001111000010
3212212012202001000
4110122000033002
51200121023101
653545552430
711325010050
oct2432001702
9785182030
10342361026
111662879a7
12967a5716
1355c101b7
143367d1d0
15200ca486
hex146803c2

342361026 has 128 divisors (see below), whose sum is σ = 925655040. Its totient is φ = 91675584.

The previous prime is 342361007. The next prime is 342361051. The reversal of 342361026 is 620163243.

342361026 is a `hidden beast` number, since 3 + 4 + 23 + 610 + 26 = 666.

It is a super-2 number, since 2×3423610262 = 234422144247545352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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, 460411 + ... + 461153.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 2342361026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342361026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462827520).

342361026 is an abundant number, since it is smaller than the sum of its proper divisors (583294014).

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

342361026 is a wasteful number, since it uses less digits than its factorization.

342361026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 342361026 is about 18503.0004593850. Note that the first 3 decimals coincide. The cubic root of 342361026 is about 699.5650536107.

The spelling of 342361026 in words is "three hundred forty-two million, three hundred sixty-one thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 53 54 63 69 106 126 138 159 161 189 207 318 322 371 378 414 477 483 621 742 743 954 966 1113 1219 1242 1431 1449 1486 2226 2229 2438 2862 2898 3339 3657 4347 4458 5201 6678 6687 7314 8533 8694 10017 10402 10971 13374 15603 17066 17089 20034 20061 21942 25599 31206 32913 34178 39379 40122 46809 51198 51267 65826 76797 78758 93618 102534 118137 119623 140427 153594 153801 230391 236274 239246 275653 280854 307602 354411 358869 460782 461403 551306 708822 717738 826959 905717 922806 1063233 1076607 1653918 1811434 2126466 2153214 2480877 2717151 3229821 4961754 5434302 6340019 6459642 7442631 8151453 12680038 14885262 16302906 19020057 24454359 38040114 48908718 57060171 114120342 171180513 342361026