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382608 = 24322657
BaseRepresentation
bin1011101011010010000
3201102211200
41131122100
544220413
612111200
73152322
oct1353220
9642750
10382608
11241506
12165500
131051c5
149d612
1578573
hex5d690

382608 has 30 divisors (see below), whose sum is σ = 1071174. Its totient is φ = 127488.

The previous prime is 382601. The next prime is 382621. The reversal of 382608 is 806283.

382608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 36864 = 588^2 + 192^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382608.

It is not an unprimeable number, because it can be changed into a prime (382601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1185 + ... + 1472.

2382608 is an apocalyptic number.

It is an amenable number.

382608 is an abundant number, since it is smaller than the sum of its proper divisors (688566).

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

382608 is a wasteful number, since it uses less digits than its factorization.

382608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 382608 is about 618.5531505053. The cubic root of 382608 is about 72.5968898788.

It can be divided in two parts, 382 and 608, that added together give a triangular number (990 = T44).

The spelling of 382608 in words is "three hundred eighty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2657 5314 7971 10628 15942 21256 23913 31884 42512 47826 63768 95652 127536 191304 382608