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348755625 = 3454832
BaseRepresentation
bin10100110010011…
…001011010101001
3220022020121210000
4110302121122221
51203240140000
654335013213
711433242151
oct2462313251
9808217700
10348755625
11169955299
129896a209
135733b99a
1434465761
1520940000
hex14c996a9

348755625 has 75 divisors (see below), whose sum is σ = 658955473. Its totient is φ = 183762000.

The previous prime is 348755623. The next prime is 348755633. The reversal of 348755625 is 526557843.

The square root of 348755625 is 18675.

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

348755625 is a `hidden beast` number, since 3 + 4 + 87 + 5 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27342441 + 321413184 = 5229^2 + 17928^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 348755625 - 21 = 348755623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348755623) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 4201834 + ... + 4201916.

Almost surely, 2348755625 is an apocalyptic number.

348755625 is the 18675-th square number.

348755625 is the 9338-th centered octagonal number.

It is an amenable number.

348755625 is a deficient number, since it is larger than the sum of its proper divisors (310199848).

348755625 is an frugal number, since it uses more digits than its factorization.

348755625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 91 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The cubic root of 348755625 is about 703.8936926525.

The spelling of 348755625 in words is "three hundred forty-eight million, seven hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 83 125 135 225 249 375 405 415 625 675 747 1125 1245 1875 2025 2075 2241 3375 3735 5625 6225 6723 6889 10125 10375 11205 16875 18675 20667 31125 33615 34445 50625 51875 56025 62001 93375 103335 155625 168075 172225 186003 280125 310005 466875 516675 558009 840375 861125 930015 1400625 1550025 2583375 2790045 4201875 4305625 4650075 7750125 12916875 13950225 23250375 38750625 69751125 116251875 348755625