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368285616 = 24342941239
BaseRepresentation
bin10101111100111…
…001011110110000
3221122222211220000
4111330321132300
51223240114431
6100313350000
712061242666
oct2574713660
9848884800
10368285616
11179984486
12a3408300
135b3b91aa
1436caac36
15224eb9e6
hex15f397b0

368285616 has 200 divisors, whose sum is σ = 1134302400. Its totient is φ = 115153920.

The previous prime is 368285573. The next prime is 368285629. The reversal of 368285616 is 616582863.

368285616 is a `hidden beast` number, since 3 + 6 + 8 + 28 + 5 + 616 = 666.

It is a zygodrome in base 3.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1540825 + ... + 1541063.

It is an arithmetic number, because the mean of its divisors is an integer number (5671512).

Almost surely, 2368285616 is an apocalyptic number.

368285616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368285616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567151200).

368285616 is an abundant number, since it is smaller than the sum of its proper divisors (766016784).

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

368285616 is a wasteful number, since it uses less digits than its factorization.

368285616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 368285616 is about 19190.7690309690. The cubic root of 368285616 is about 716.7949204273.

It can be divided in two parts, 3682 and 85616, that added together give a palindrome (89298).

The spelling of 368285616 in words is "three hundred sixty-eight million, two hundred eighty-five thousand, six hundred sixteen".