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23503340 = 2257229827
BaseRepresentation
bin101100110101…
…0000111101100
31122020002112002
41121222013230
522004101330
62155431432
7403526600
oct131520754
948202462
1023503340
11122a3453
127a55578
134b3bc03
14319b500
1520e3e45
hex166a1ec

23503340 has 72 divisors (see below), whose sum is σ = 59466960. Its totient is φ = 7771008.

The previous prime is 23503321. The next prime is 23503349. The reversal of 23503340 is 4330532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23503349) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28007 + ... + 28833.

It is an arithmetic number, because the mean of its divisors is an integer number (825930).

Almost surely, 223503340 is an apocalyptic number.

23503340 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 23503340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29733480).

23503340 is an abundant number, since it is smaller than the sum of its proper divisors (35963620).

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

23503340 is a wasteful number, since it uses less digits than its factorization.

23503340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 23503340 is about 4848.0243398729. The cubic root of 23503340 is about 286.4462851601.

Adding to 23503340 its reverse (4330532), we get a palindrome (27833872).

The spelling of 23503340 in words is "twenty-three million, five hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 827 980 1015 1421 1654 2030 2842 3308 4060 4135 5684 5789 7105 8270 11578 14210 16540 23156 23983 28420 28945 40523 47966 57890 81046 95932 115780 119915 162092 167881 202615 239830 335762 405230 479660 671524 810460 839405 1175167 1678810 2350334 3357620 4700668 5875835 11751670 23503340