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16434198 = 2331173379
BaseRepresentation
bin111110101100…
…010000010110
31010220221111000
4332230100112
513201343243
61344124130
7256455054
oct76542026
933827430
1016434198
119305290
125606646
1335353a1
14227b1d4
1516995d3
hexfac416

16434198 has 64 divisors (see below), whose sum is σ = 40492800. Its totient is φ = 4898880.

The previous prime is 16434191. The next prime is 16434199. The reversal of 16434198 is 89143461.

16434198 is a `hidden beast` number, since 1 + 643 + 4 + 1 + 9 + 8 = 666.

16434198 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 is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43173 + ... + 43551.

It is an arithmetic number, because the mean of its divisors is an integer number (632700).

Almost surely, 216434198 is an apocalyptic number.

16434198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16434198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20246400).

16434198 is an abundant number, since it is smaller than the sum of its proper divisors (24058602).

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

16434198 is a wasteful number, since it uses less digits than its factorization.

16434198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 16434198 is about 4053.9114445187. The cubic root of 16434198 is about 254.2432930419.

The spelling of 16434198 in words is "sixteen million, four hundred thirty-four thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 99 146 198 219 297 379 438 594 657 758 803 1137 1314 1606 1971 2274 2409 3411 3942 4169 4818 6822 7227 8338 10233 12507 14454 20466 21681 25014 27667 37521 43362 55334 75042 83001 112563 166002 225126 249003 304337 498006 608674 747009 913011 1494018 1826022 2739033 5478066 8217099 16434198