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20174304 = 253316779
BaseRepresentation
bin100110011110…
…1010111100000
31101221221221110
41030331113200
520131034204
62000223320
7333323133
oct114752740
941857843
1020174304
111042a287
12690ab40
134244877
14297221a
151b87889
hex133d5e0

20174304 has 48 divisors (see below), whose sum is σ = 54673920. Its totient is φ = 6506880.

The previous prime is 20174293. The next prime is 20174311. The reversal of 20174304 is 40347102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 414 + ... + 6365.

It is an arithmetic number, because the mean of its divisors is an integer number (1139040).

Almost surely, 220174304 is an apocalyptic number.

20174304 is a gapful number since it is divisible by the number (24) 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 20174304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27336960).

20174304 is an abundant number, since it is smaller than the sum of its proper divisors (34499616).

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

20174304 is a wasteful number, since it uses less digits than its factorization.

20174304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20174304 is about 4491.5814586847. The cubic root of 20174304 is about 272.2280382918.

The spelling of 20174304 in words is "twenty million, one hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 6779 13558 20337 27116 40674 54232 81348 108464 162696 210149 216928 325392 420298 630447 650784 840596 1260894 1681192 2521788 3362384 5043576 6724768 10087152 20174304