Search a number
-
+
3361100625 = 32547732
BaseRepresentation
bin1100100001010110…
…0101001101010001
322200020111121021100
43020111211031101
523340420210000
61313304015013
7146201612121
oct31025451521
98606447240
103361100625
111475287713
12799761469
1341745624c
1423c562c81
1514a121a00
hexc8565351

3361100625 has 45 divisors (see below), whose sum is σ = 6074570359. Its totient is φ = 1790268000.

The previous prime is 3361100599. The next prime is 3361100669. The reversal of 3361100625 is 5260011633.

The square root of 3361100625 is 57975.

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

3361100625 is a `hidden beast` number, since 3 + 36 + 1 + 1 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3358318401 + 2782224 = 57951^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 3361100625 - 27 = 3361100497 is a prime.

It is a super-2 number, since 2×33611006252 = 22593994822750781250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4347739 + ... + 4348511.

Almost surely, 23361100625 is an apocalyptic number.

3361100625 is the 57975-th square number.

3361100625 is the 28988-th centered octagonal number.

It is an amenable number.

3361100625 is a deficient number, since it is larger than the sum of its proper divisors (2713469734).

3361100625 is an frugal number, since it uses more digits than its factorization.

3361100625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 3361100625 is about 1497.9380000697.

The spelling of 3361100625 in words is "three billion, three hundred sixty-one million, one hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 773 1125 1875 2319 3865 5625 6957 11595 19325 34785 57975 96625 173925 289875 483125 597529 869625 1449375 1792587 2987645 4348125 5377761 8962935 14938225 26888805 44814675 74691125 134444025 224073375 373455625 672220125 1120366875 3361100625