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349797525 = 352721117509
BaseRepresentation
bin10100110110010…
…111110010010101
3220101012112222220
4110312113302111
51204022010100
654413212553
711445141600
oct2466276225
9811175886
10349797525
1116a4a7070
1299191159
1357614cac
1434657337
1520a98aa0
hex14d97c95

349797525 has 144 divisors (see below), whose sum is σ = 778610880. Its totient is φ = 136550400.

The previous prime is 349797517. The next prime is 349797551. The reversal of 349797525 is 525797943.

It is not a de Polignac number, because 349797525 - 23 = 349797517 is a prime.

It is a super-2 number, since 2×3497975252 = 244716616992251250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 686971 + ... + 687479.

It is an arithmetic number, because the mean of its divisors is an integer number (5407020).

Almost surely, 2349797525 is an apocalyptic number.

349797525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

349797525 is an abundant number, since it is smaller than the sum of its proper divisors (428813355).

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

349797525 is a wasteful number, since it uses less digits than its factorization.

349797525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 51.

The square root of 349797525 is about 18702.8747790280. The cubic root of 349797525 is about 704.5939515823.

The spelling of 349797525 in words is "three hundred forty-nine million, seven hundred ninety-seven thousand, five hundred twenty-five".

Divisors: 1 3 5 7 11 15 17 21 25 33 35 49 51 55 75 77 85 105 119 147 165 175 187 231 245 255 275 357 385 425 509 525 539 561 595 735 825 833 935 1155 1225 1275 1309 1527 1617 1785 1925 2499 2545 2695 2805 2975 3563 3675 3927 4165 4675 5599 5775 6545 7635 8085 8653 8925 9163 10689 12495 12725 13475 14025 16797 17815 19635 20825 24941 25959 27489 27995 32725 38175 39193 40425 43265 45815 53445 60571 62475 74823 83985 89075 95183 98175 117579 124705 129795 137445 139975 181713 195965 216325 229075 267225 274351 285549 302855 374115 419925 423997 475915 587895 623525 648975 666281 687225 823053 908565 979825 1271991 1371755 1427745 1514275 1870575 1998843 2119985 2379575 2939475 3331405 4115265 4542825 4663967 6359955 6858775 7138725 9994215 10599925 13991901 16657025 20576325 23319835 31799775 49971075 69959505 116599175 349797525