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363245481 = 3263532
BaseRepresentation
bin10101101001101…
…010111110101001
3221022111210010100
4111221222332221
51220442323411
6100013340013
712000351504
oct2551527651
9838453110
10363245481
11177051785
12a1797609
135a343071
143635813b
1521d53456
hex15a6afa9

363245481 has 9 divisors (see below), whose sum is σ = 524770519. Its totient is φ = 242125536.

The previous prime is 363245471. The next prime is 363245483. The reversal of 363245481 is 184542363.

The square root of 363245481 is 19059.

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

It can be written as a sum of positive squares in only one way, i.e., 166797225 + 196448256 = 12915^2 + 14016^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 363245481 - 27 = 363245353 is a prime.

It is a super-2 number, since 2×3632454812 = 263894558933842722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363245483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54001 + ... + 60353.

Almost surely, 2363245481 is an apocalyptic number.

363245481 is the 19059-th square number.

363245481 is the 9530-th centered octagonal number.

It is an amenable number.

363245481 is a deficient number, since it is larger than the sum of its proper divisors (161525038).

363245481 is an frugal number, since it uses more digits than its factorization.

363245481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712 (or 6356 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The cubic root of 363245481 is about 713.5100150223.

Multiplying 363245481 by its sum of digits (36), we get a square (13076837316 = 1143542).

The spelling of 363245481 in words is "three hundred sixty-three million, two hundred forty-five thousand, four hundred eighty-one".

Divisors: 1 3 9 6353 19059 57177 40360609 121081827 363245481