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346375645356 = 2231319116860879
BaseRepresentation
bin1010000101001011001…
…10001110100010101100
31020010001111212220110210
411002211212032202230
521133334131122411
6423042304102420
734011340256436
oct5024546164254
91203044786423
10346375645356
11123996027034
1257168604a10
1326880a41c90
1412a9c383656
159023c80ca6
hex50a598e8ac

346375645356 has 48 divisors (see below), whose sum is σ = 916189299200. Its totient is φ = 100967798592.

The previous prime is 346375645351. The next prime is 346375645361. The reversal of 346375645356 is 653546573643.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (346375645351) and next prime (346375645361).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 346375645296 and 346375645305.

It is not an unprimeable number, because it can be changed into a prime (346375645351) 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 15 ways as a sum of consecutive naturals, for example, 58427476 + ... + 58433403.

Almost surely, 2346375645356 is an apocalyptic number.

It is an amenable number.

346375645356 is an abundant number, since it is smaller than the sum of its proper divisors (569813653844).

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

346375645356 is a wasteful number, since it uses less digits than its factorization.

346375645356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116860918 (or 116860916 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 57.

The spelling of 346375645356 in words is "three hundred forty-six billion, three hundred seventy-five million, six hundred forty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 116860879 233721758 350582637 467443516 701165274 1402330548 1519191427 2220356701 3038382854 4440713402 4557574281 6076765708 6661070103 8881426804 9115148562 13322140206 18230297124 26644280412 28864637113 57729274226 86593911339 115458548452 173187822678 346375645356