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382541334 = 23723313931
BaseRepresentation
bin10110110011010…
…001111000010110
3222122211010001120
4112303101320112
51240412310314
6101543104410
712323355600
oct2663217026
9878733046
10382541334
11186a30a6a
12a8142106
136133ab26
1438b3c170
15238b58a9
hex16cd1e16

382541334 has 48 divisors (see below), whose sum is σ = 892910016. Its totient is φ = 108939600.

The previous prime is 382541329. The next prime is 382541347. The reversal of 382541334 is 433145283.

It is a junction number, because it is equal to n+sod(n) for n = 382541295 and 382541304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95349 + ... + 99279.

It is an arithmetic number, because the mean of its divisors is an integer number (18602292).

Almost surely, 2382541334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382541334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446455008).

382541334 is an abundant number, since it is smaller than the sum of its proper divisors (510368682).

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

382541334 is a wasteful number, since it uses less digits than its factorization.

382541334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4274 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 382541334 is about 19558.6639114230. The cubic root of 382541334 is about 725.9267318239.

The spelling of 382541334 in words is "three hundred eighty-two million, five hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 331 662 993 1986 2317 3931 4634 6951 7862 11793 13902 16219 23586 27517 32438 48657 55034 82551 97314 165102 192619 385238 577857 1155714 1301161 2602322 3903483 7806966 9108127 18216254 27324381 54648762 63756889 127513778 191270667 382541334