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2384096 = 251113521
BaseRepresentation
bin1001000110000011100000
311111010100212
421012003200
51102242341
6123033252
726156501
oct11060340
94433325
102384096
111389230
1296b828
13656210
14460ba8
153215eb
hex2460e0

2384096 has 48 divisors (see below), whose sum is σ = 5524848. Its totient is φ = 998400.

The previous prime is 2384077. The next prime is 2384143. The reversal of 2384096 is 6904832.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4316 + ... + 4836.

It is an arithmetic number, because the mean of its divisors is an integer number (115101).

22384096 is an apocalyptic number.

2384096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2384096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762424).

2384096 is an abundant number, since it is smaller than the sum of its proper divisors (3140752).

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

2384096 is a wasteful number, since it uses less digits than its factorization.

2384096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2384096 is about 1544.0518126022. The cubic root of 2384096 is about 133.5901937416.

It can be divided in two parts, 238 and 4096, that added together give a palindrome (4334).

The spelling of 2384096 in words is "two million, three hundred eighty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 521 572 1042 1144 2084 2288 4168 4576 5731 6773 8336 11462 13546 16672 22924 27092 45848 54184 74503 91696 108368 149006 183392 216736 298012 596024 1192048 2384096