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363388068 = 223289113417
BaseRepresentation
bin10101101010001…
…101110010100100
3221022210000201100
4111222031302210
51221011404233
6100020400100
712001514301
oct2552156244
9838700640
10363388068
1117713991a
12a1846030
135a392c34
14363940a8
1521d80813
hex15a8dca4

363388068 has 36 divisors (see below), whose sum is σ = 928893420. Its totient is φ = 119767296.

The previous prime is 363388061. The next prime is 363388121. The reversal of 363388068 is 860883363.

It is a happy number.

363388068 is a `hidden beast` number, since 3 + 633 + 8 + 8 + 0 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67272804 + 296115264 = 8202^2 + 17208^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (363388061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53505 + ... + 59912.

It is an arithmetic number, because the mean of its divisors is an integer number (25802595).

Almost surely, 2363388068 is an apocalyptic number.

It is an amenable number.

363388068 is an abundant number, since it is smaller than the sum of its proper divisors (565505352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

363388068 is a wasteful number, since it uses less digits than its factorization.

363388068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113516 (or 113511 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 363388068 is about 19062.7403066820. The cubic root of 363388068 is about 713.6033623121.

The spelling of 363388068 in words is "three hundred sixty-three million, three hundred eighty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 113417 226834 340251 453668 680502 1020753 1361004 2041506 4083012 10094113 20188226 30282339 40376452 60564678 90847017 121129356 181694034 363388068