Search a number
-
+
414035325 = 3252111311277
BaseRepresentation
bin11000101011011…
…010110101111101
31001212002011200200
4120223122311331
51321443112300
6105030114113
713155146034
oct3053326575
91055064620
10414035325
111a2791960
12b67ab939
1367a16b22
143cdb971b
1526537200
hex18adad7d

414035325 has 72 divisors (see below), whose sum is σ = 815813856. Its totient is φ = 199056000.

The previous prime is 414035317. The next prime is 414035329. The reversal of 414035325 is 523530414.

It is not a de Polignac number, because 414035325 - 23 = 414035317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414035329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323587 + ... + 324863.

It is an arithmetic number, because the mean of its divisors is an integer number (11330748).

Almost surely, 2414035325 is an apocalyptic number.

414035325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414035325 is a deficient number, since it is larger than the sum of its proper divisors (401778531).

414035325 is a wasteful number, since it uses less digits than its factorization.

414035325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 414035325 is about 20347.8579953763. The cubic root of 414035325 is about 745.3251887269.

Adding to 414035325 its reverse (523530414), we get a palindrome (937565739).

The spelling of 414035325 in words is "four hundred fourteen million, thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 131 165 225 275 393 495 655 825 1179 1277 1441 1965 2475 3275 3831 4323 5895 6385 7205 9825 11493 12969 14047 19155 21615 29475 31925 36025 42141 57465 64845 70235 95775 108075 126423 167287 210705 287325 324225 351175 501861 632115 836435 1053525 1505583 1840157 2509305 3160575 4182175 5520471 7527915 9200785 12546525 16561413 27602355 37639575 46003925 82807065 138011775 414035325