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16340688 = 24327132943
BaseRepresentation
bin111110010101…
…011011010000
31010202012012200
4332111123100
513140400223
61342123200
7255615330
oct76253320
933665180
1016340688
119251001
125580500
133501960
1422550c0
15167ba43
hexf956d0

16340688 has 240 divisors, whose sum is σ = 59579520. Its totient is φ = 4064256.

The previous prime is 16340683. The next prime is 16340707. The reversal of 16340688 is 88604361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16340683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379995 + ... + 380037.

It is an arithmetic number, because the mean of its divisors is an integer number (248248).

Almost surely, 216340688 is an apocalyptic number.

16340688 is a gapful number since it is divisible by the number (18) 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 16340688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29789760).

16340688 is an abundant number, since it is smaller than the sum of its proper divisors (43238832).

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

16340688 is a wasteful number, since it uses less digits than its factorization.

16340688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 16340688 is about 4042.3616859455. The cubic root of 16340688 is about 253.7601637965.

The spelling of 16340688 in words is "sixteen million, three hundred forty thousand, six hundred eighty-eight".