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23382240 = 253576959
BaseRepresentation
bin101100100110…
…0100011100000
31121222221101220
41121030203200
521441212430
62153055040
7402513540
oct131144340
947887356
1023382240
1112220472
1279b7480
134ac8a5b
143169320
1520bd110
hex164c8e0

23382240 has 96 divisors (see below), whose sum is σ = 84188160. Its totient is φ = 5343744.

The previous prime is 23382211. The next prime is 23382257. The reversal of 23382240 is 4228332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23382240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120 + ... + 6839.

It is an arithmetic number, because the mean of its divisors is an integer number (876960).

Almost surely, 223382240 is an apocalyptic number.

23382240 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 23382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42094080).

23382240 is an abundant number, since it is smaller than the sum of its proper divisors (60805920).

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

23382240 is a wasteful number, since it uses less digits than its factorization.

23382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23382240 is about 4835.5185864600. The cubic root of 23382240 is about 285.9534701881.

The spelling of 23382240 in words is "twenty-three million, three hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6959 13918 20877 27836 34795 41754 48713 55672 69590 83508 97426 104385 111344 139180 146139 167016 194852 208770 222688 243565 278360 292278 334032 389704 417540 487130 556720 584556 668064 730695 779408 835080 974260 1113440 1169112 1461390 1558816 1670160 1948520 2338224 2922780 3340320 3897040 4676448 5845560 7794080 11691120 23382240