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2342041000 = 235313257701
BaseRepresentation
bin1000101110011000…
…1011010110101000
320001012222000021021
42023212023112220
514244030303000
61024222022224
7112016006605
oct21346132650
96035860237
102342041000
11aa2026082
12554417974
132b42a49a0
141830936ac
15da92811a
hex8b98b5a8

2342041000 has 128 divisors (see below), whose sum is σ = 5933360160. Its totient is φ = 860160000.

The previous prime is 2342040997. The next prime is 2342041021. The reversal of 2342041000 is 1402432.

It can be written as a sum of positive squares in 16 ways, for example, as 36312676 + 2305728324 = 6026^2 + 48018^2 .

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, 3340650 + ... + 3341350.

Almost surely, 22342041000 is an apocalyptic number.

2342041000 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 2342041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966680080).

2342041000 is an abundant number, since it is smaller than the sum of its proper divisors (3591319160).

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

2342041000 is a wasteful number, since it uses less digits than its factorization.

2342041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2342041000 is about 48394.6381327519. The cubic root of 2342041000 is about 1328.0002736850. Note that the first 3 decimals are identical.

Adding to 2342041000 its reverse (1402432), we get a palindrome (2343443432).

The spelling of 2342041000 in words is "two billion, three hundred forty-two million, forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 257 260 325 500 514 520 650 701 1000 1028 1285 1300 1402 1625 2056 2570 2600 2804 3250 3341 3505 5140 5608 6425 6500 6682 7010 9113 10280 12850 13000 13364 14020 16705 17525 18226 25700 26728 28040 32125 33410 35050 36452 45565 51400 64250 66820 70100 72904 83525 87625 91130 128500 133640 140200 167050 175250 180157 182260 227825 257000 334100 350500 360314 364520 417625 455650 668200 701000 720628 835250 900785 911300 1139125 1441256 1670500 1801570 1822600 2278250 2342041 3341000 3603140 4503925 4556500 4684082 7206280 9007850 9113000 9368164 11710205 18015700 18736328 22519625 23420410 36031400 45039250 46840820 58551025 90078500 93681640 117102050 180157000 234204100 292755125 468408200 585510250 1171020500 2342041000