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23545340 = 22571317761
BaseRepresentation
bin101100111010…
…0010111111100
31122022020010122
41121310113330
522011422330
62200354112
7404063210
oct131642774
948266118
1023545340
1112321a65
127a75938
134b55070
1431ac940
1521015e5
hex16745fc

23545340 has 96 divisors (see below), whose sum is σ = 64520064. Its totient is φ = 7004160.

The previous prime is 23545339. The next prime is 23545343. The reversal of 23545340 is 4354532.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23545343) 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, 30560 + ... + 31320.

It is an arithmetic number, because the mean of its divisors is an integer number (672084).

Almost surely, 223545340 is an apocalyptic number.

23545340 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 23545340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32260032).

23545340 is an abundant number, since it is smaller than the sum of its proper divisors (40974724).

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

23545340 is a wasteful number, since it uses less digits than its factorization.

23545340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 23545340 is about 4852.3540678726. The cubic root of 23545340 is about 286.6168082269.

Adding to 23545340 its reverse (4354532), we get a palindrome (27899872).

The spelling of 23545340 in words is "twenty-three million, five hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 761 884 910 1105 1190 1522 1547 1820 2210 2380 3044 3094 3805 4420 5327 6188 7610 7735 9893 10654 12937 15220 15470 19786 21308 25874 26635 30940 39572 49465 51748 53270 64685 69251 90559 98930 106540 129370 138502 168181 181118 197860 258740 277004 336362 346255 362236 452795 672724 692510 840905 905590 1177267 1385020 1681810 1811180 2354534 3363620 4709068 5886335 11772670 23545340