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16345616 = 247220849
BaseRepresentation
bin111110010110…
…101000010000
31010202102222012
4332112220100
513141024431
61342202052
7255635600
oct76265020
933672865
1016345616
119254781
125583328
133503c81
142256c00
15167d22b
hexf96a10

16345616 has 30 divisors (see below), whose sum is σ = 36841950. Its totient is φ = 7004928.

The previous prime is 16345583. The next prime is 16345631. The reversal of 16345616 is 61654361.

It can be written as a sum of positive squares in only one way, i.e., 16032016 + 313600 = 4004^2 + 560^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9641 + ... + 11208.

It is an arithmetic number, because the mean of its divisors is an integer number (1228065).

Almost surely, 216345616 is an apocalyptic number.

16345616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16345616 is an abundant number, since it is smaller than the sum of its proper divisors (20496334).

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

16345616 is a wasteful number, since it uses less digits than its factorization.

16345616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20871 (or 20858 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 16345616 is about 4042.9711846611. The cubic root of 16345616 is about 253.7856707682.

Adding to 16345616 its reverse (61654361), we get a palindrome (77999977).

It can be divided in two parts, 16345 and 616, that added together give a palindrome (16961).

The spelling of 16345616 in words is "sixteen million, three hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 20849 41698 83396 145943 166792 291886 333584 583772 1021601 1167544 2043202 2335088 4086404 8172808 16345616