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352981125 = 3353767223
BaseRepresentation
bin10101000010100…
…001000010000101
3220121012022002000
4111002201002011
51210330344000
655005335513
711514201330
oct2502410205
9817168060
10352981125
11171280a42
129a267599
135818b093
1434c45617
1520ec7000
hex150a1085

352981125 has 128 divisors (see below), whose sum is σ = 760381440. Its totient is φ = 158241600.

The previous prime is 352981121. The next prime is 352981169. The reversal of 352981125 is 521189253.

352981125 is a `hidden beast` number, since 3 + 529 + 8 + 1 + 125 = 666.

It is not a de Polignac number, because 352981125 - 22 = 352981121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 352981125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352981121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1582764 + ... + 1582986.

It is an arithmetic number, because the mean of its divisors is an integer number (5940480).

Almost surely, 2352981125 is an apocalyptic number.

352981125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

352981125 is an abundant number, since it is smaller than the sum of its proper divisors (407400315).

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

352981125 is a wasteful number, since it uses less digits than its factorization.

352981125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 352981125 is about 18787.7919138998. The cubic root of 352981125 is about 706.7250647667.

The spelling of 352981125 in words is "three hundred fifty-two million, nine hundred eighty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 67 75 105 125 135 175 189 201 223 225 315 335 375 469 525 603 669 675 875 945 1005 1115 1125 1407 1561 1575 1675 1809 2007 2345 2625 3015 3345 3375 4221 4683 4725 5025 5575 6021 7035 7805 7875 8375 9045 10035 11725 12663 14049 14941 15075 16725 21105 23415 23625 25125 27875 30105 35175 39025 42147 44823 45225 50175 58625 63315 70245 74705 75375 83625 104587 105525 117075 134469 150525 175875 195125 210735 224115 226125 250875 313761 316575 351225 373525 403407 522935 527625 585375 672345 752625 941283 1053675 1120575 1568805 1582875 1756125 1867625 2017035 2614675 2823849 3361725 4706415 5268375 5602875 7844025 10085175 13073375 14119245 16808625 23532075 39220125 50425875 70596225 117660375 352981125