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363996216 = 23325055503
BaseRepresentation
bin10101101100100…
…010010000111000
3221100220220221100
4111230202100320
51221140334331
6100041411400
712006626313
oct2554422070
9840826840
10363996216
11177514821
12a1a99b60
135a54699c
14364b197a
1521e50ae6
hex15b22438

363996216 has 24 divisors (see below), whose sum is σ = 985823280. Its totient is φ = 121332048.

The previous prime is 363996173. The next prime is 363996233. The reversal of 363996216 is 612699363.

It is a happy number.

363996216 is a `hidden beast` number, since 3 + 639 + 9 + 6 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2527680 + ... + 2527823.

It is an arithmetic number, because the mean of its divisors is an integer number (41075970).

Almost surely, 2363996216 is an apocalyptic number.

363996216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

363996216 is an abundant number, since it is smaller than the sum of its proper divisors (621827064).

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

363996216 is a wasteful number, since it uses less digits than its factorization.

363996216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055515 (or 5055508 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 363996216 is about 19078.6848603356. The cubic root of 363996216 is about 714.0012240169.

The spelling of 363996216 in words is "three hundred sixty-three million, nine hundred ninety-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5055503 10111006 15166509 20222012 30333018 40444024 45499527 60666036 90999054 121332072 181998108 363996216