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21134304 = 253361401
BaseRepresentation
bin101000010011…
…1101111100000
31110202201211000
41100213233200
520402244204
62032552000
7344432022
oct120475740
943681730
1021134304
1110a25574
1270b2600
1344bc809
142b42012
151cc7039
hex1427be0

21134304 has 96 divisors (see below), whose sum is σ = 62808480. Its totient is φ = 6912000.

The previous prime is 21134293. The next prime is 21134353. The reversal of 21134304 is 40343112.

Added to its reverse (40343112) it gives a triangular number (61477416 = T11088).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52504 + ... + 52904.

It is an arithmetic number, because the mean of its divisors is an integer number (654255).

Almost surely, 221134304 is an apocalyptic number.

21134304 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 21134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31404240).

21134304 is an abundant number, since it is smaller than the sum of its proper divisors (41674176).

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

21134304 is a wasteful number, since it uses less digits than its factorization.

21134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21134304 is about 4597.2061080617. The cubic root of 21134304 is about 276.4793183336.

Adding to 21134304 its reverse (40343112), we get a palindrome (61477416).

The spelling of 21134304 in words is "twenty-one million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 401 432 488 549 732 802 864 976 1098 1203 1464 1604 1647 1952 2196 2406 2928 3208 3294 3609 4392 4812 5856 6416 6588 7218 8784 9624 10827 12832 13176 14436 17568 19248 21654 24461 26352 28872 38496 43308 48922 52704 57744 73383 86616 97844 115488 146766 173232 195688 220149 293532 346464 391376 440298 587064 660447 782752 880596 1174128 1320894 1761192 2348256 2641788 3522384 5283576 7044768 10567152 21134304