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346200689940 = 22357824287357
BaseRepresentation
bin1010000100110110010…
…10110100110100010100
31020002121022200020202120
411002123022310310110
521133004334034230
6423013054135540
734004114211360
oct5023312646424
91202538606676
10346200689940
1112390629a486
1257119ab15b0
1326853716271
1412a830402a0
159013722310
hex509b2b4d14

346200689940 has 48 divisors (see below), whose sum is σ = 1107842209152. Its totient is φ = 79131586176.

The previous prime is 346200689851. The next prime is 346200689957. The reversal of 346200689940 is 49986002643.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 412143259 + ... + 412144098.

It is an arithmetic number, because the mean of its divisors is an integer number (23080046024).

Almost surely, 2346200689940 is an apocalyptic number.

346200689940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346200689940 is an abundant number, since it is smaller than the sum of its proper divisors (761641519212).

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

346200689940 is a wasteful number, since it uses less digits than its factorization.

346200689940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824287376 (or 824287374 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 346200689940 in words is "three hundred forty-six billion, two hundred million, six hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 824287357 1648574714 2472862071 3297149428 4121436785 4945724142 5770011499 8242873570 9891448284 11540022998 12364310355 16485747140 17310034497 23080045996 24728620710 28850057495 34620068994 49457241420 57700114990 69240137988 86550172485 115400229980 173100344970 346200689940