Search a number
-
+
345421520873 = 112131111719753
BaseRepresentation
bin1010000011011001011…
…10100001111111101001
31020000121000112100201222
411001230232201333221
521124410402131443
6422403501551425
733645603324422
oct5015456417751
91200530470658
10345421520873
11123546497200
1256b40b75575
132675b177a90
1412a0b778649
158eba112468
hex506cba1fe9

345421520873 has 24 divisors (see below), whose sum is σ = 408941697864. Its totient is φ = 289823466240.

The previous prime is 345421520869. The next prime is 345421520903. The reversal of 345421520873 is 378025124543.

It can be written as a sum of positive squares in 4 ways, for example, as 6647467024 + 338774053849 = 81532^2 + 582043^2 .

It is not a de Polignac number, because 345421520873 - 22 = 345421520869 is a prime.

It is a super-3 number, since 3×3454215208733 (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345421520803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17477165 + ... + 17496917.

It is an arithmetic number, because the mean of its divisors is an integer number (17039237411).

Almost surely, 2345421520873 is an apocalyptic number.

It is an amenable number.

345421520873 is a deficient number, since it is larger than the sum of its proper divisors (63520176991).

345421520873 is a wasteful number, since it uses less digits than its factorization.

345421520873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30905 (or 30894 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 345421520873 in words is "three hundred forty-five billion, four hundred twenty-one million, five hundred twenty thousand, eight hundred seventy-three".

Divisors: 1 11 13 121 143 1573 11117 19753 122287 144521 217283 256789 1345157 1589731 2390113 2824679 17487041 31071469 219594101 2415535111 2854723313 26570886221 31401956443 345421520873