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2328192 = 27324347
BaseRepresentation
bin1000111000011010000000
311101021200100
420320122000
51044000232
6121522400
725534506
oct10703200
94337610
102328192
111350229
12943400
13636939
14448676
1530ec7c
hex238680

2328192 has 96 divisors (see below), whose sum is σ = 7001280. Its totient is φ = 741888.

The previous prime is 2328181. The next prime is 2328211. The reversal of 2328192 is 2918232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 49513 + ... + 49559.

It is an arithmetic number, because the mean of its divisors is an integer number (72930).

22328192 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 2328192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500640).

2328192 is an abundant number, since it is smaller than the sum of its proper divisors (4673088).

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

2328192 is a wasteful number, since it uses less digits than its factorization.

2328192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2328192 is about 1525.8414072242. The cubic root of 2328192 is about 132.5377511987.

The spelling of 2328192 in words is "two million, three hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 47 48 64 72 86 94 96 128 129 141 144 172 188 192 258 282 288 344 376 384 387 423 516 564 576 688 752 774 846 1032 1128 1152 1376 1504 1548 1692 2021 2064 2256 2752 3008 3096 3384 4042 4128 4512 5504 6016 6063 6192 6768 8084 8256 9024 12126 12384 13536 16168 16512 18048 18189 24252 24768 27072 32336 36378 48504 49536 54144 64672 72756 97008 129344 145512 194016 258688 291024 388032 582048 776064 1164096 2328192