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3483242361 = 3210321912
BaseRepresentation
bin1100111110011110…
…0000111101111001
322222202100001020100
43033213200331321
524113202223421
61333345550013
7152214033354
oct31747407571
98882301210
103483242361
1115282215a5
12812645309
1343684cc71
1425087929b
15155bebc26
hexcf9e0f79

3483242361 has 27 divisors (see below), whose sum is σ = 5107412037. Its totient is φ = 2287576440.

The previous prime is 3483242359. The next prime is 3483242363. The reversal of 3483242361 is 1632423843.

The square root of 3483242361 is 59019.

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

It is an interprime number because it is at equal distance from previous prime (3483242359) and next prime (3483242363).

It is not a de Polignac number, because 3483242361 - 21 = 3483242359 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3483242363) 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, 18236776 + ... + 18236966.

Almost surely, 23483242361 is an apocalyptic number.

3483242361 is the 59019-th square number.

3483242361 is the 29510-th centered octagonal number.

It is an amenable number.

3483242361 is a deficient number, since it is larger than the sum of its proper divisors (1624169676).

3483242361 is an equidigital number, since it uses as much as digits as its factorization.

3483242361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The cubic root of 3483242361 is about 1515.8674625617.

Multiplying 3483242361 by its sum of digits (36), we get a square (125396724996 = 3541142).

Multiplying 3483242361 by its product of digits (82944), we get a square (288914054390784 = 169974722).

The spelling of 3483242361 in words is "three billion, four hundred eighty-three million, two hundred forty-two thousand, three hundred sixty-one".

Divisors: 1 3 9 103 191 309 573 927 1719 10609 19673 31827 36481 59019 95481 109443 177057 328329 2026319 3757543 6078957 11272629 18236871 33817887 387026929 1161080787 3483242361