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2384896 = 21017137
BaseRepresentation
bin1001000110010000000000
311111011110111
421012100000
51102304041
6123041104
726162023
oct11062000
94434414
102384896
111389898
12970194
136566a7
144611ba
15321981
hex246400

2384896 has 44 divisors (see below), whose sum is σ = 5084748. Its totient is φ = 1114112.

The previous prime is 2384891. The next prime is 2384897. The reversal of 2384896 is 6984832.

It can be written as a sum of positive squares in 2 ways, for example, as 1638400 + 746496 = 1280^2 + 864^2 .

It is a d-powerful number, because it can be written as 218 + 313 + 84 + 49 + 86 + 9 + 62 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2384891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17340 + ... + 17476.

22384896 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 2384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542374).

2384896 is an abundant number, since it is smaller than the sum of its proper divisors (2699852).

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

2384896 is a wasteful number, since it uses less digits than its factorization.

2384896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 2384896 is about 1544.3108495377. The cubic root of 2384896 is about 133.6051344436.

The spelling of 2384896 in words is "two million, three hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 137 256 272 274 512 544 548 1024 1088 1096 2176 2192 2329 4352 4384 4658 8704 8768 9316 17408 17536 18632 35072 37264 70144 74528 140288 149056 298112 596224 1192448 2384896