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258681345 = 351323137421
BaseRepresentation
bin11110110101100…
…10101000000001
3200000202101002120
433122302220001
51012210300340
641400234453
76260520006
oct1732625001
9600671076
10258681345
1112302313a
127276ba29
1341791cb0
14264d98ad
1517a9b4d0
hexf6b2a01

258681345 has 64 divisors (see below), whose sum is σ = 469615104. Its totient is φ = 120637440.

The previous prime is 258681343. The next prime is 258681359. The reversal of 258681345 is 543186852.

It is not a de Polignac number, because 258681345 - 21 = 258681343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258681297 and 258681306.

It is not an unprimeable number, because it can be changed into a prime (258681343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 614235 + ... + 614655.

It is an arithmetic number, because the mean of its divisors is an integer number (7337736).

Almost surely, 2258681345 is an apocalyptic number.

It is an amenable number.

258681345 is a deficient number, since it is larger than the sum of its proper divisors (210933759).

258681345 is a wasteful number, since it uses less digits than its factorization.

258681345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602.

The product of its digits is 230400, while the sum is 42.

The square root of 258681345 is about 16083.5737633152. The cubic root of 258681345 is about 637.1695850238.

The spelling of 258681345 in words is "two hundred fifty-eight million, six hundred eighty-one thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 23 39 65 69 115 137 195 299 345 411 421 685 897 1263 1495 1781 2055 2105 3151 4485 5343 5473 6315 8905 9453 9683 15755 16419 26715 27365 29049 40963 47265 48415 57677 82095 122889 125879 145245 173031 204815 288385 377637 614445 629395 749801 865155 1326571 1888185 2249403 3749005 3979713 6632855 11247015 17245423 19898565 51736269 86227115 258681345