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16342304 = 2511172731
BaseRepresentation
bin111110010101…
…110100100000
31010202021102112
4332111310200
513140423204
61342134452
7255623126
oct76256440
933667375
1016342304
119252240
125581428
133502604
142255916
15167c26e
hexf95d20

16342304 has 48 divisors (see below), whose sum is σ = 37177056. Its totient is φ = 6988800.

The previous prime is 16342303. The next prime is 16342307. The reversal of 16342304 is 40324361.

It is a happy number.

16342304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16342304.

It is not an unprimeable number, because it can be changed into a prime (16342303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4619 + ... + 7349.

It is an arithmetic number, because the mean of its divisors is an integer number (774522).

Almost surely, 216342304 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 16342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18588528).

16342304 is an abundant number, since it is smaller than the sum of its proper divisors (20834752).

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

16342304 is a wasteful number, since it uses less digits than its factorization.

16342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 16342304 is about 4042.5615641571. The cubic root of 16342304 is about 253.7685286607.

Adding to 16342304 its reverse (40324361), we get a palindrome (56666665).

The spelling of 16342304 in words is "sixteen million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2731 2992 5462 5984 10924 21848 30041 43696 46427 60082 87392 92854 120164 185708 240328 371416 480656 510697 742832 961312 1021394 1485664 2042788 4085576 8171152 16342304