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346689782140 = 225131737707643
BaseRepresentation
bin1010000101110000101…
…00100100000101111100
31020010212101222201010111
411002320110210011330
521140010041012030
6423133405115404
734022203345222
oct5027024440574
91203771881114
10346689782140
11124037386709
1257235858b64
1326900b4c530
1412acbd96b12
15904163362a
hex50b852417c

346689782140 has 48 divisors (see below), whose sum is σ = 788584472928. Its totient is φ = 127268584704.

The previous prime is 346689782099. The next prime is 346689782171. The reversal of 346689782140 is 41287986643.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3808842 + ... + 3898801.

It is an arithmetic number, because the mean of its divisors is an integer number (16428843186).

Almost surely, 2346689782140 is an apocalyptic number.

It is an amenable number.

346689782140 is an abundant number, since it is smaller than the sum of its proper divisors (441894690788).

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

346689782140 is a wasteful number, since it uses less digits than its factorization.

346689782140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7707838 (or 7707836 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 346689782140 in words is "three hundred forty-six billion, six hundred eighty-nine million, seven hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 1730 2249 3460 4498 8996 11245 22490 44980 7707643 15415286 30830572 38538215 77076430 100199359 154152860 200398718 400797436 500996795 1001993590 1333422239 2003987180 2666844478 5333688956 6667111195 13334222390 17334489107 26668444780 34668978214 69337956428 86672445535 173344891070 346689782140