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16349328 = 2432113537
BaseRepresentation
bin111110010111…
…100010010000
31010202122001200
4332113202100
513141134303
61342231200
7255652452
oct76274220
933678050
1016349328
119257546
125585500
133505878
1422582d2
15167e3a3
hexf97890

16349328 has 30 divisors (see below), whose sum is σ = 45755814. Its totient is φ = 5449728.

The previous prime is 16349327. The next prime is 16349339. The reversal of 16349328 is 82394361.

16349328 is a `hidden beast` number, since 163 + 493 + 2 + 8 = 666.

16349328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12616704 + 3732624 = 3552^2 + 1932^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 16349292 and 16349301.

It is not an unprimeable number, because it can be changed into a prime (16349321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56625 + ... + 56912.

Almost surely, 216349328 is an apocalyptic number.

16349328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16349328 is an abundant number, since it is smaller than the sum of its proper divisors (29406486).

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

16349328 is a wasteful number, since it uses less digits than its factorization.

16349328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113551 (or 113542 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 16349328 is about 4043.4302269237. The cubic root of 16349328 is about 253.8048804267.

The spelling of 16349328 in words is "sixteen million, three hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 113537 227074 340611 454148 681222 908296 1021833 1362444 1816592 2043666 2724888 4087332 5449776 8174664 16349328