Search a number
-
+
346060349201 = 73110916389759
BaseRepresentation
bin1010000100100101100…
…11011101111100010001
31020002020112121012110102
411002102303131330101
521132212422133301
6422551122142145
734000461301610
oct5022263357421
91202215535412
10346060349201
111238440553a6
125709aab1955
1326830619ac8
1412a6c54b877
15900624eb6b
hex5092cddf11

346060349201 has 32 divisors (see below), whose sum is σ = 414533222400. Its totient is φ = 282673074240.

The previous prime is 346060349179. The next prime is 346060349233. The reversal of 346060349201 is 102943060643.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 346060349201 - 226 = 345993240337 is a prime.

It is a super-2 number, since 2×3460603492012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (346060349251) 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 31 ways as a sum of consecutive naturals, for example, 3810560 + ... + 3900318.

It is an arithmetic number, because the mean of its divisors is an integer number (12954163200).

Almost surely, 2346060349201 is an apocalyptic number.

346060349201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

346060349201 is a deficient number, since it is larger than the sum of its proper divisors (68472873199).

346060349201 is a wasteful number, since it uses less digits than its factorization.

346060349201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90069.

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 346060349201 in words is "three hundred forty-six billion, sixty million, three hundred forty-nine thousand, two hundred one".

Divisors: 1 7 31 109 163 217 763 1141 3379 5053 17767 23653 35371 89759 124369 550777 628313 2782529 3855439 9783731 14630717 19477703 68486117 102415019 303295661 453552227 1594748153 2123069627 3174865589 11163237071 49437192743 346060349201