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348009025 = 5272132412
BaseRepresentation
bin10100101111100…
…011001001000001
3220020211200122011
4110233203021001
51203042242100
654311012521
711424012400
oct2457431101
9806750564
10348009025
11169495371
129866a141
1357139c00
143430d637
1520843bba
hex14be3241

348009025 has 81 divisors (see below), whose sum is σ = 557151003. Its totient is φ = 214905600.

The previous prime is 348009017. The next prime is 348009037. The reversal of 348009025 is 520900843.

The square root of 348009025 is 18655.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 315382081 + 32626944 = 17759^2 + 5712^2 .

It is not a de Polignac number, because 348009025 - 23 = 348009017 is a prime.

It is a super-2 number, since 2×3480090252 = 242220562962901250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 8488005 + ... + 8488045.

Almost surely, 2348009025 is an apocalyptic number.

348009025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

348009025 is the 18655-th square number.

348009025 is the 9328-th centered octagonal number.

It is an amenable number.

348009025 is a deficient number, since it is larger than the sum of its proper divisors (209141978).

348009025 is a wasteful number, since it uses less digits than its factorization.

348009025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 348009025 is about 703.3910460542.

Adding to 348009025 its reverse (520900843), we get a palindrome (868909868).

The spelling of 348009025 in words is "three hundred forty-eight million, nine thousand, twenty-five".

Divisors: 1 5 7 13 25 35 41 49 65 91 169 175 205 245 287 325 455 533 637 845 1025 1183 1225 1435 1681 2009 2275 2665 3185 3731 4225 5915 6929 7175 8281 8405 10045 11767 13325 15925 18655 21853 26117 29575 34645 41405 42025 48503 50225 58835 82369 93275 109265 130585 152971 173225 207025 242515 284089 294175 339521 411845 546325 652925 764855 1070797 1212575 1420445 1697605 1988623 2059225 3824275 5353985 7102225 8488025 9943115 13920361 26769925 49715575 69601805 348009025