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3466265625 = 32561572
BaseRepresentation
bin1100111010011011…
…0000010000011001
322221120101112112100
43032212300100121
524044331000000
61331542034013
7151616525454
oct31646602031
98846345470
103466265625
111519686739
12808a18909
13433187964
1424c4da49b
15154496a00
hexce9b0419

3466265625 has 63 divisors (see below), whose sum is σ = 6298571721. Its totient is φ = 1836900000.

The previous prime is 3466265617. The next prime is 3466265683. The reversal of 3466265625 is 5265626643.

The square root of 3466265625 is 58875.

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

3466265625 is a `hidden beast` number, since 3 + 4 + 66 + 26 + 562 + 5 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2233413081 + 1232852544 = 47259^2 + 35112^2 .

It is not a de Polignac number, because 3466265625 - 23 = 3466265617 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 22078047 + ... + 22078203.

Almost surely, 23466265625 is an apocalyptic number.

3466265625 is the 58875-th square number.

3466265625 is the 29438-th centered octagonal number.

It is an amenable number.

3466265625 is a deficient number, since it is larger than the sum of its proper divisors (2832306096).

3466265625 is an frugal number, since it uses more digits than its factorization.

3466265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 165 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The cubic root of 3466265625 is about 1513.4007566276.

The spelling of 3466265625 in words is "three billion, four hundred sixty-six million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 157 225 375 471 625 785 1125 1413 1875 2355 3125 3925 5625 7065 9375 11775 15625 19625 24649 28125 35325 46875 58875 73947 98125 123245 140625 176625 221841 294375 369735 490625 616225 883125 1109205 1471875 1848675 2453125 3081125 4415625 5546025 7359375 9243375 15405625 22078125 27730125 46216875 77028125 138650625 231084375 385140625 693253125 1155421875 3466265625