Search a number
-
+
349309903943 = 711131011134513
BaseRepresentation
bin1010001010101000111…
…11100010010001000111
31020101122000012200112202
411011110133202101013
521210341313411233
6424245403305115
734144140123260
oct5052437422107
91211560180482
10349309903943
11125161374a30
125784721b19b
1326c2a919170
1412c99d55967
15914668abe8
hex51547e2447

349309903943 has 32 divisors (see below), whose sum is σ = 469063483392. Its totient is φ = 251219750400.

The previous prime is 349309903939. The next prime is 349309903961.

It is a happy number.

349309903943 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 349309903943 - 22 = 349309903939 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349309903903) 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, 10103855 + ... + 10138367.

It is an arithmetic number, because the mean of its divisors is an integer number (14658233856).

Almost surely, 2349309903943 is an apocalyptic number.

349309903943 is a deficient number, since it is larger than the sum of its proper divisors (119753579449).

349309903943 is a wasteful number, since it uses less digits than its factorization.

349309903943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44655.

The product of its (nonzero) digits is 8503056, while the sum is 56.

The spelling of 349309903943 in words is "three hundred forty-nine billion, three hundred nine million, nine hundred three thousand, nine hundred forty-three".

Divisors: 1 7 11 13 77 91 143 1001 10111 34513 70777 111221 131443 241591 379643 448669 778547 920101 1445873 2657501 3140683 4935359 10121111 34547513 348960943 2442726601 3838570373 4536492259 26869992611 31755445813 49901414849 349309903943