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2342004120 = 2332531209857
BaseRepresentation
bin1000101110011000…
…0010010110011000
320001012220010200100
42023212002112120
514244023112440
61024221135400
7112015464231
oct21346022630
96035803610
102342004120
11aa20003a5
125543ba560
132b4290c71
14183084088
15da91c230
hex8b982598

2342004120 has 96 divisors (see below), whose sum is σ = 7857083520. Its totient is φ = 604385280.

The previous prime is 2342004109. The next prime is 2342004131. The reversal of 2342004120 is 214002432.

2342004120 is a `hidden beast` number, since 234 + 20 + 0 + 412 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2342004109) and next prime (2342004131).

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 = 2342004093 and 2342004102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93769 + ... + 116088.

It is an arithmetic number, because the mean of its divisors is an integer number (81844620).

Almost surely, 22342004120 is an apocalyptic number.

2342004120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342004120 is an abundant number, since it is smaller than the sum of its proper divisors (5515079400).

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

2342004120 is a wasteful number, since it uses less digits than its factorization.

2342004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209905 (or 209898 counting only the distinct ones).

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

The square root of 2342004120 is about 48394.2570973044. The cubic root of 2342004120 is about 1327.9933029976.

Adding to 2342004120 its reverse (214002432), we get a palindrome (2556006552).

The spelling of 2342004120 in words is "two billion, three hundred forty-two million, four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 209857 419714 629571 839428 1049285 1259142 1678856 1888713 2098570 2518284 3147855 3777426 4197140 5036568 6295710 6505567 7554852 8394280 9443565 12591420 13011134 15109704 18887130 19516701 25182840 26022268 32527835 37774260 39033402 52044536 58550103 65055670 75548520 78066804 97583505 117100206 130111340 156133608 195167010 234200412 260222680 292750515 390334020 468400824 585501030 780668040 1171002060 2342004120