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393366288 = 24375772029
BaseRepresentation
bin10111011100100…
…100101100010000
31000102012002002210
4113130210230100
51301200210123
6103011112120
712514362330
oct2734445420
91012162083
10393366288
11192054a07
12ab8a2640
136365b023
143a3590c0
1524802e93
hex17724b10

393366288 has 80 divisors (see below), whose sum is σ = 1163953280. Its totient is φ = 112140288.

The previous prime is 393366269. The next prime is 393366293. The reversal of 393366288 is 882663393.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192858 + ... + 194886.

It is an arithmetic number, because the mean of its divisors is an integer number (14549416).

Almost surely, 2393366288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393366288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581976640).

393366288 is an abundant number, since it is smaller than the sum of its proper divisors (770586992).

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

393366288 is a wasteful number, since it uses less digits than its factorization.

393366288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2618 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 393366288 is about 19833.4638427079. The cubic root of 393366288 is about 732.7104392907.

The spelling of 393366288 in words is "three hundred ninety-three million, three hundred sixty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 577 1154 1731 2029 2308 3462 4039 4058 4616 6087 6924 8078 8116 9232 12117 12174 13848 14203 16156 16232 24234 24348 27696 28406 32312 32464 42609 48468 48696 56812 64624 85218 96936 97392 113624 170436 193872 227248 340872 681744 1170733 2341466 3512199 4682932 7024398 8195131 9365864 14048796 16390262 18731728 24585393 28097592 32780524 49170786 56195184 65561048 98341572 131122096 196683144 393366288