Search a number
-
+
34051246425 = 3352723313331
BaseRepresentation
bin11111101101100111…
…001100100101011001
310020220002102112201000
4133231213030211121
51024214104341200
623350512215213
72313551550630
oct375547144531
9106802375630
1034051246425
111349404a479
12672383a509
1332987ba331
1419104dc517
15d44623300
hex7ed9cc959

34051246425 has 96 divisors (see below), whose sum is σ = 74598082560. Its totient is φ = 14889441600.

The previous prime is 34051246403. The next prime is 34051246469. The reversal of 34051246425 is 52464215043.

34051246425 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 1 + 2 + 4 + 642 + 5 = 666.

It is a de Polignac number, because none of the positive numbers 2k-34051246425 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34051246425.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47991 + ... + 265340.

It is an arithmetic number, because the mean of its divisors is an integer number (777063360).

Almost surely, 234051246425 is an apocalyptic number.

34051246425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34051246425 is an abundant number, since it is smaller than the sum of its proper divisors (40546836135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34051246425 is a wasteful number, since it uses less digits than its factorization.

34051246425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313380 (or 313369 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 34051246425 in words is "thirty-four billion, fifty-one million, two hundred forty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 27 35 45 63 69 75 105 115 135 161 175 189 207 225 315 345 483 525 575 621 675 805 945 1035 1449 1575 1725 2415 3105 4025 4347 4725 5175 7245 12075 15525 21735 36225 108675 313331 939993 1566655 2193317 2819979 4699965 6579951 7206613 7833275 8459937 10966585 14099895 19739853 21619839 23499825 32899755 36033065 42299685 50446291 54832925 59219559 64859517 70499475 98699265 108099195 151338873 164498775 180165325 194578551 211498425 252231455 296097795 324297585 454016619 493496325 540495975 756694365 972892755 1261157275 1362049857 1480488975 1621487925 2270083095 3783471825 4864463775 6810249285 11350415475 34051246425