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2023343120 = 245233473169
BaseRepresentation
bin111100010011001…
…1100010000010000
312020000021110222002
41320212130100100
513120433434440
6532435133132
7101066063351
oct17046342020
95200243862
102023343120
119491406a7
124857441a8
1326325b366
14152a13d28
15bc974115
hex7899c410

2023343120 has 80 divisors (see below), whose sum is σ = 4924506240. Its totient is φ = 771674112.

The previous prime is 2023343107. The next prime is 2023343171. The reversal of 2023343120 is 213433202.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 2023343092 and 2023343101.

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, 636896 + ... + 640064.

It is an arithmetic number, because the mean of its divisors is an integer number (61556328).

Almost surely, 22023343120 is an apocalyptic number.

2023343120 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 2023343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462253120).

2023343120 is an abundant number, since it is smaller than the sum of its proper divisors (2901163120).

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

2023343120 is a wasteful number, since it uses less digits than its factorization.

2023343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2023343120 is about 44981.5864549040. The cubic root of 2023343120 is about 1264.8038502911.

Adding to 2023343120 its reverse (213433202), we get a palindrome (2236776322).

The spelling of 2023343120 in words is "two billion, twenty-three million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 347 368 460 694 920 1388 1735 1840 2776 3169 3470 5552 6338 6940 7981 12676 13880 15845 15962 25352 27760 31690 31924 39905 50704 63380 63848 72887 79810 126760 127696 145774 159620 253520 291548 319240 364435 583096 638480 728870 1099643 1166192 1457740 2199286 2915480 4398572 5498215 5830960 8797144 10996430 17594288 21992860 25291789 43985720 50583578 87971440 101167156 126458945 202334312 252917890 404668624 505835780 1011671560 2023343120