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23443020 = 2234529499
BaseRepresentation
bin101100101101…
…1011001001100
31122010000210000
41121123121030
522000134040
62154244300
7403155666
oct131333114
948100700
1023443020
11122620a7
127a26690
134b1a613
143183536
1520d1130
hex165b64c

23443020 has 120 divisors (see below), whose sum is σ = 76230000. Its totient is φ = 6023808.

The previous prime is 23442997. The next prime is 23443027. The reversal of 23443020 is 2034432.

23443020 is a `hidden beast` number, since 234 + 430 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23442984 and 23443002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23443027) 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 39 ways as a sum of consecutive naturals, for example, 46731 + ... + 47229.

It is an arithmetic number, because the mean of its divisors is an integer number (635250).

Almost surely, 223443020 is an apocalyptic number.

23443020 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 23443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38115000).

23443020 is an abundant number, since it is smaller than the sum of its proper divisors (52786980).

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

23443020 is a wasteful number, since it uses less digits than its factorization.

23443020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23443020 is about 4841.7992523441. The cubic root of 23443020 is about 286.2010257996.

Adding to 23443020 its reverse (2034432), we get a palindrome (25477452).

The spelling of 23443020 in words is "twenty-three million, four hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 499 522 540 580 783 810 870 998 1044 1305 1497 1566 1620 1740 1996 2349 2495 2610 2994 3132 3915 4491 4698 4990 5220 5988 7485 7830 8982 9396 9980 11745 13473 14471 14970 15660 17964 22455 23490 26946 28942 29940 40419 43413 44910 46980 53892 57884 67365 72355 80838 86826 89820 130239 134730 144710 161676 173652 202095 217065 260478 269460 289420 390717 404190 434130 520956 651195 781434 808380 868260 1172151 1302390 1562868 1953585 2344302 2604780 3907170 4688604 5860755 7814340 11721510 23443020