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348490689561 = 3272281112
BaseRepresentation
bin1010001001000111010…
…10011110110000011001
31020022111220201021200100
411010203222132300121
521202202104031221
6424032220530013
734114631662200
oct5044352366031
91208456637610
10348490689561
11124880a00053
12576589b0909
1326b29c99621
1412c1d228237
1590e97ba926
hex5123a9ec19

348490689561 has 27 divisors (see below), whose sum is σ = 585580016853. Its totient is φ = 199130452920.

The previous prime is 348490689523. The next prime is 348490689577. The reversal of 348490689561 is 165986094843.

The square root of 348490689561 is 590331.

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

348490689561 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 9 + 0 + 68 + 9 + 561 = 666.

It is not a de Polignac number, because 348490689561 - 213 = 348490681369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (348490689361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12382896 + ... + 12411006.

Almost surely, 2348490689561 is an apocalyptic number.

348490689561 is the 590331-st square number.

348490689561 is the 295166-th centered octagonal number.

It is an amenable number.

348490689561 is a deficient number, since it is larger than the sum of its proper divisors (237089327292).

348490689561 is an frugal number, since it uses more digits than its factorization.

348490689561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56242 (or 28121 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 348490689561 in words is "three hundred forty-eight billion, four hundred ninety million, six hundred eighty-nine thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 28111 84333 196777 252999 590331 1377439 1770993 4132317 12396951 790228321 2370684963 5531598247 7112054889 16594794741 38721187729 49784384223 116163563187 348490689561