Search a number
-
+
349593932097 = 3359557393997
BaseRepresentation
bin1010001011001010110…
…11000001000101000001
31020102100210122210221000
411011211123001011001
521211432021311342
6424333511122213
734154156251554
oct5054533010501
91212323583830
10349593932097
1112529772a543
1257906373369
1326c74714167
1412cc596c69b
15916159244c
hex51656c1141

349593932097 has 32 divisors (see below), whose sum is σ = 527642121600. Its totient is φ = 228700494144.

The previous prime is 349593932069. The next prime is 349593932147. The reversal of 349593932097 is 790239395943.

349593932097 is a `hidden beast` number, since 3 + 4 + 9 + 593 + 9 + 32 + 0 + 9 + 7 = 666.

It is not a de Polignac number, because 349593932097 - 222 = 349589737793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349593932057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690303 + ... + 1084299.

It is an arithmetic number, because the mean of its divisors is an integer number (16488816300).

Almost surely, 2349593932097 is an apocalyptic number.

It is an amenable number.

349593932097 is a deficient number, since it is larger than the sum of its proper divisors (178048189503).

349593932097 is a wasteful number, since it uses less digits than its factorization.

349593932097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394622 (or 394616 counting only the distinct ones).

The product of its (nonzero) digits is 49601160, while the sum is 63.

The spelling of 349593932097 in words is "three hundred forty-nine billion, five hundred ninety-three million, nine hundred thirty-two thousand, ninety-seven".

Divisors: 1 3 9 27 59 177 531 557 1593 1671 5013 15039 32863 98589 295767 393997 887301 1181991 3545973 10637919 23245823 69737469 209212407 219456329 627637221 658368987 1975106961 5925320883 12947923411 38843770233 116531310699 349593932097