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382002324 = 22311323917
BaseRepresentation
bin10110110001001…
…110010010010100
3222121210201200020
4112301032102110
51240243033244
6101523345140
712315652254
oct2661162224
9877721606
10382002324
111866a3000
12a7b221b0
13611ac6a2
1438a3b964
152380ad19
hex16c4e494

382002324 has 48 divisors (see below), whose sum is σ = 980446656. Its totient is φ = 115753440.

The previous prime is 382002311. The next prime is 382002337. The reversal of 382002324 is 423200283.

It is an interprime number because it is at equal distance from previous prime (382002311) and next prime (382002337).

It is a junction number, because it is equal to n+sod(n) for n = 382002294 and 382002303.

It is a congruent number.

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, 4014 + ... + 27930.

It is an arithmetic number, because the mean of its divisors is an integer number (20425972).

Almost surely, 2382002324 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 382002324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490223328).

382002324 is an abundant number, since it is smaller than the sum of its proper divisors (598444332).

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

382002324 is a wasteful number, since it uses less digits than its factorization.

382002324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23957 (or 23933 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 382002324 is about 19544.8797386937. The cubic root of 382002324 is about 725.5856221170.

The spelling of 382002324 in words is "three hundred eighty-two million, two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 2662 3993 5324 7986 15972 23917 47834 71751 95668 143502 263087 287004 526174 789261 1052348 1578522 2893957 3157044 5787914 8681871 11575828 17363742 31833527 34727484 63667054 95500581 127334108 191001162 382002324