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2023434240 = 2113565867
BaseRepresentation
bin111100010011011…
…0010100000000000
312020000110002221220
41320212302200000
513120444343430
6532441115040
7101066623122
oct17046624000
95200402856
102023434240
119491a3103
12485788a80
13263290989
14152a39212
15bc991110
hex789b2800

2023434240 has 96 divisors (see below), whose sum is σ = 6473507040. Its totient is φ = 539574272.

The previous prime is 2023434229. The next prime is 2023434247. The reversal of 2023434240 is 424343202.

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

It is a super-2 number, since 2×20234342402 = 8188572247208755200, which contains 22 as substring.

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 2023434240.

It is not an unprimeable number, because it can be changed into a prime (2023434247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2214 + ... + 63653.

It is an arithmetic number, because the mean of its divisors is an integer number (67432365).

Almost surely, 22023434240 is an apocalyptic number.

2023434240 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 2023434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236753520).

2023434240 is an abundant number, since it is smaller than the sum of its proper divisors (4450072800).

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

2023434240 is an equidigital number, since it uses as much as digits as its factorization.

2023434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65897 (or 65877 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2023434240 is about 44982.5993023969. The cubic root of 2023434240 is about 1264.8228365578.

Adding to 2023434240 its reverse (424343202), we get a palindrome (2447777442).

The spelling of 2023434240 in words is "two billion, twenty-three million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 65867 131734 197601 263468 329335 395202 526936 658670 790404 988005 1053872 1317340 1580808 1976010 2107744 2634680 3161616 3952020 4215488 5269360 6323232 7904040 8430976 10538720 12646464 15808080 16861952 21077440 25292928 31616160 33723904 42154880 50585856 63232320 67447808 84309760 101171712 126464640 134895616 168619520 202343424 252929280 337239040 404686848 505858560 674478080 1011717120 2023434240