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14198328 = 233421911
BaseRepresentation
bin110110001010…
…011000111000
3222201100110000
4312022120320
512113321303
61224153000
7231453354
oct66123070
928640400
1014198328
118018461
124908760
132c317a1
141c58464
1513a6da3
hexd8a638

14198328 has 40 divisors (see below), whose sum is σ = 39770280. Its totient is φ = 4732560.

The previous prime is 14198323. The next prime is 14198333. The reversal of 14198328 is 82389141.

It is an interprime number because it is at equal distance from previous prime (14198323) and next prime (14198333).

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 = 14198292 and 14198301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14198323) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 10308 + ... + 11603.

It is an arithmetic number, because the mean of its divisors is an integer number (994257).

Almost surely, 214198328 is an apocalyptic number.

14198328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14198328 is an abundant number, since it is smaller than the sum of its proper divisors (25571952).

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

14198328 is a wasteful number, since it uses less digits than its factorization.

14198328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21929 (or 21916 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 14198328 is about 3768.0668783874. The cubic root of 14198328 is about 242.1469862693.

The spelling of 14198328 in words is "fourteen million, one hundred ninety-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 21911 43822 65733 87644 131466 175288 197199 262932 394398 525864 591597 788796 1183194 1577592 1774791 2366388 3549582 4732776 7099164 14198328