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3243188601 = 324124632
BaseRepresentation
bin1100000101001111…
…0010000101111001
322101000122001101100
43001103302011321
523120224013401
61253452442013
7143240435232
oct30123620571
98330561340
103243188601
111414771664
12766179309
133c8bb0813
1422aa2c089
1513eaceb86
hexc14f2179

3243188601 has 27 divisors (see below), whose sum is σ = 4812044367. Its totient is φ = 2104835040.

The previous prime is 3243188591. The next prime is 3243188609. The reversal of 3243188601 is 1068813423.

The square root of 3243188601 is 56949.

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

3243188601 is a `hidden beast` number, since 3 + 2 + 43 + 1 + 8 + 8 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156275001 + 3086913600 = 12501^2 + 55560^2 .

It is not a de Polignac number, because 3243188601 - 223 = 3234799993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3243188609) 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, 7004496 + ... + 7004958.

Almost surely, 23243188601 is an apocalyptic number.

3243188601 is the 56949-th square number.

3243188601 is the 28475-th centered octagonal number.

It is an amenable number.

3243188601 is a deficient number, since it is larger than the sum of its proper divisors (1568855766).

3243188601 is an frugal number, since it uses more digits than its factorization.

3243188601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 3243188601 is about 1480.2125031183.

Multiplying 3243188601 by its sum of digits (36), we get a square (116754789636 = 3416942).

It can be divided in two parts, 3243 and 188601, that added together give a square (191844 = 4382).

The spelling of 3243188601 in words is "three billion, two hundred forty-three million, one hundred eighty-eight thousand, six hundred one".

Divisors: 1 3 9 41 123 369 463 1389 1681 4167 5043 15129 18983 56949 170847 214369 643107 778303 1929321 2334909 7004727 8789129 26367387 79102161 360354289 1081062867 3243188601