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382284738 = 233112411427
BaseRepresentation
bin10110110010010…
…011001111000010
3222122100002002000
4112302103033002
51240331102423
6101533404430
712321236523
oct2662231702
9878302060
10382284738
11186876200
12a8039716
136127b0b4
1438ab284a
1523864843
hex16c933c2

382284738 has 96 divisors (see below), whose sum is σ = 957216960. Its totient is φ = 112939200.

The previous prime is 382284733. The next prime is 382284739. The reversal of 382284738 is 837482283.

It is a super-2 number, since 2×3822847382 = 292283241815457288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 382284693 and 382284702.

It is not an unprimeable number, because it can be changed into a prime (382284733) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267181 + ... + 268607.

It is an arithmetic number, because the mean of its divisors is an integer number (9971010).

Almost surely, 2382284738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382284738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478608480).

382284738 is an abundant number, since it is smaller than the sum of its proper divisors (574932222).

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

382284738 is a wasteful number, since it uses less digits than its factorization.

382284738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1484 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 382284738 is about 19552.1031605298. The cubic root of 382284738 is about 725.7643863529.

The spelling of 382284738 in words is "three hundred eighty-two million, two hundred eighty-four thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 121 123 198 242 246 297 363 369 451 594 726 738 902 1089 1107 1353 1427 2178 2214 2706 2854 3267 4059 4281 4961 6534 8118 8562 9922 12177 12843 14883 15697 24354 25686 29766 31394 38529 44649 47091 58507 77058 89298 94182 117014 133947 141273 172667 175521 267894 282546 345334 351042 423819 518001 526563 643577 847638 1036002 1053126 1287154 1554003 1579689 1930731 3108006 3159378 3861462 4662009 5792193 7079347 9324018 11584386 14158694 17376579 21238041 34753158 42476082 63714123 127428246 191142369 382284738