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368868768 = 2536757349
BaseRepresentation
bin10101111111000…
…111110110100000
3221201002110211020
4111333013312200
51223412300033
6100334045440
712066222102
oct2577076640
9851073736
10368868768
1117a242624
12a3649880
135b561758
1436dbd572
15225b46b3
hex15fc7da0

368868768 has 48 divisors (see below), whose sum is σ = 982749600. Its totient is φ = 121118976.

The previous prime is 368868763. The next prime is 368868821. The reversal of 368868768 is 867868863.

368868768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (368868763) 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 7 ways as a sum of consecutive naturals, for example, 22243 + ... + 35106.

It is an arithmetic number, because the mean of its divisors is an integer number (20473950).

Almost surely, 2368868768 is an apocalyptic number.

It is an amenable number.

368868768 is an abundant number, since it is smaller than the sum of its proper divisors (613880832).

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

368868768 is a wasteful number, since it uses less digits than its factorization.

368868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57429 (or 57421 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 368868768 is about 19205.9565760209. The cubic root of 368868768 is about 717.1730508269.

It can be divided in two parts, 36886 and 8768, that added together give a palindrome (45654).

The spelling of 368868768 in words is "three hundred sixty-eight million, eight hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 57349 114698 172047 229396 344094 458792 688188 917584 1376376 1835168 2752752 3842383 5505504 7684766 11527149 15369532 23054298 30739064 46108596 61478128 92217192 122956256 184434384 368868768