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2020120344 = 2333115711489
BaseRepresentation
bin111100001101000…
…1001011100011000
312012210012202011000
41320122021130120
513114122322334
6532242105000
7101026511454
oct17032113430
95183182130
102020120344
1194733a350
1248464b160
132626a04a8
14152415664
15bc539299
hex78689718

2020120344 has 128 divisors (see below), whose sum is σ = 6136416000. Its totient is φ = 610675200.

The previous prime is 2020120331. The next prime is 2020120369. The reversal of 2020120344 is 4430210202.

2020120344 is a `hidden beast` number, since 202 + 0 + 120 + 344 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1355952 + ... + 1357440.

It is an arithmetic number, because the mean of its divisors is an integer number (47940750).

Almost surely, 22020120344 is an apocalyptic number.

2020120344 is a gapful number since it is divisible by the number (24) 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 2020120344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068208000).

2020120344 is an abundant number, since it is smaller than the sum of its proper divisors (4116295656).

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

2020120344 is a wasteful number, since it uses less digits than its factorization.

2020120344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2020120344 is about 44945.7488979770. The cubic root of 2020120344 is about 1264.1319679417.

Adding to 2020120344 its reverse (4430210202), we get a palindrome (6450330546).

The spelling of 2020120344 in words is "two billion, twenty million, one hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 571 594 792 1142 1188 1489 1713 2284 2376 2978 3426 4467 4568 5139 5956 6281 6852 8934 10278 11912 12562 13401 13704 15417 16379 17868 18843 20556 25124 26802 30834 32758 35736 37686 40203 41112 49137 50248 53604 56529 61668 65516 75372 80406 98274 107208 113058 123336 131032 147411 150744 160812 169587 196548 226116 294822 321624 339174 393096 442233 452232 589644 678348 850219 884466 1179288 1356696 1700438 1768932 2550657 3400876 3537864 5101314 6801752 7651971 9352409 10202628 15303942 18704818 20405256 22955913 28057227 30607884 37409636 45911826 56114454 61215768 74819272 84171681 91823652 112228908 168343362 183647304 224457816 252515043 336686724 505030086 673373448 1010060172 2020120344