Search a number
-
+
349805470301 = 7247914903731
BaseRepresentation
bin1010001011100100000…
…01111110001001011101
31020102220112201001210022
411011302001332021131
521212400200022201
6424410505121525
734162335303200
oct5056201761135
91212815631708
10349805470301
11125396083301
12579651892a5
1326ca94ab1b1
1412d05ab5937
159174e2a41b
hex517207e25d

349805470301 has 12 divisors (see below), whose sum is σ = 407766107520. Its totient is φ = 299207283480.

The previous prime is 349805470277. The next prime is 349805470349. The reversal of 349805470301 is 103074508943.

It is not a de Polignac number, because 349805470301 - 222 = 349801275997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349805470801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7428395 + ... + 7475336.

It is an arithmetic number, because the mean of its divisors is an integer number (33980508960).

Almost surely, 2349805470301 is an apocalyptic number.

It is an amenable number.

349805470301 is a deficient number, since it is larger than the sum of its proper divisors (57960637219).

349805470301 is a wasteful number, since it uses less digits than its factorization.

349805470301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904224 (or 14904217 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 349805470301 in words is "three hundred forty-nine billion, eight hundred five million, four hundred seventy thousand, three hundred one".

Divisors: 1 7 49 479 3353 23471 14903731 104326117 730282819 7138887149 49972210043 349805470301