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352350441 = 3262572
BaseRepresentation
bin10101000000000…
…111000011101001
3220120000020221100
4111000013003221
51210200203231
654544032013
711505633522
oct2500070351
9816006840
10352350441
11170990113
129a002609
1357cc9cb1
1434b1d849
1520e001e6
hex150070e9

352350441 has 9 divisors (see below), whose sum is σ = 509031991. Its totient is φ = 234862752.

The previous prime is 352350407. The next prime is 352350469. The reversal of 352350441 is 144053253.

The square root of 352350441 is 18771.

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

It can be written as a sum of positive squares in only one way, i.e., 348755625 + 3594816 = 18675^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-352350441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (352350241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53185 + ... + 59441.

Almost surely, 2352350441 is an apocalyptic number.

352350441 is the 18771-st square number.

352350441 is the 9386-th centered octagonal number.

It is an amenable number.

352350441 is a deficient number, since it is larger than the sum of its proper divisors (156681550).

352350441 is an frugal number, since it uses more digits than its factorization.

352350441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12520 (or 6260 counting only the distinct ones).

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

The cubic root of 352350441 is about 706.3039035162.

The spelling of 352350441 in words is "three hundred fifty-two million, three hundred fifty thousand, four hundred forty-one".

Divisors: 1 3 9 6257 18771 56313 39150049 117450147 352350441