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23400300 = 223527111013
BaseRepresentation
bin101100101000…
…0111101101100
31122000212011210
41121100331230
521442302200
62153314420
7402620310
oct131207554
948025153
1023400300
1112232aa0
127a05a10
134b04041
143171b40
1520c3650
hex1650f6c

23400300 has 144 divisors (see below), whose sum is σ = 84494592. Its totient is φ = 4857600.

The previous prime is 23400259. The next prime is 23400331. The reversal of 23400300 is 300432.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 22594 + ... + 23606.

It is an arithmetic number, because the mean of its divisors is an integer number (586768).

Almost surely, 223400300 is an apocalyptic number.

23400300 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 23400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247296).

23400300 is an abundant number, since it is smaller than the sum of its proper divisors (61094292).

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

23400300 is a wasteful number, since it uses less digits than its factorization.

23400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23400300 is about 4837.3856575634. The cubic root of 23400300 is about 286.0270729258.

Adding to 23400300 its reverse (300432), we get a palindrome (23700732).

The spelling of 23400300 in words is "twenty-three million, four hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1013 1050 1100 1155 1540 1650 1925 2026 2100 2310 3039 3300 3850 4052 4620 5065 5775 6078 7091 7700 10130 11143 11550 12156 14182 15195 20260 21273 22286 23100 25325 28364 30390 33429 35455 42546 44572 50650 55715 60780 66858 70910 75975 78001 85092 101300 106365 111430 133716 141820 151950 156002 167145 177275 212730 222860 234003 278575 303900 312004 334290 354550 390005 425460 468006 531825 557150 668580 709100 780010 835725 936012 1063650 1114300 1170015 1560020 1671450 1950025 2127300 2340030 3342900 3900050 4680060 5850075 7800100 11700150 23400300