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23204320 = 2551719449
BaseRepresentation
bin101100010000…
…1000111100000
31121122220100021
41120201013200
521420014240
62145203224
7401143036
oct130410740
947586307
1023204320
1112109827
127930514
134a65a89
143120556
15208554a
hex16211e0

23204320 has 96 divisors (see below), whose sum is σ = 61236000. Its totient is φ = 8257536.

The previous prime is 23204299. The next prime is 23204327. The reversal of 23204320 is 2340232.

23204320 = T696 + T697 + ... + T780.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23204294 and 23204303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23204327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51456 + ... + 51904.

It is an arithmetic number, because the mean of its divisors is an integer number (637875).

Almost surely, 223204320 is an apocalyptic number.

23204320 is a gapful number since it is divisible by the number (20) 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 23204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30618000).

23204320 is an abundant number, since it is smaller than the sum of its proper divisors (38031680).

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

23204320 is a wasteful number, since it uses less digits than its factorization.

23204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 23204320 is about 4817.0862562342. The cubic root of 23204320 is about 285.2263309344.

Adding to 23204320 its reverse (2340232), we get a palindrome (25544552).

The spelling of 23204320 in words is "twenty-three million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 449 544 608 646 680 760 898 1292 1360 1520 1615 1796 2245 2584 2720 3040 3230 3592 4490 5168 6460 7184 7633 8531 8980 10336 12920 14368 15266 17062 17960 25840 30532 34124 35920 38165 42655 51680 61064 68248 71840 76330 85310 122128 136496 145027 152660 170620 244256 272992 290054 305320 341240 580108 610640 682480 725135 1160216 1221280 1364960 1450270 2320432 2900540 4640864 5801080 11602160 23204320