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2434003000 = 2353111317021
BaseRepresentation
bin1001000100010011…
…1111000000111000
320021122000011102021
42101010333000320
514441101044000
61041305044224
7114213453442
oct22104770070
96248004367
102434003000
111039a27530
1257b186674
132ca362980
14191391492
15e3a4111a
hex9113f038

2434003000 has 128 divisors (see below), whose sum is σ = 6691688640. Its totient is φ = 816960000.

The previous prime is 2434002997. The next prime is 2434003009. The reversal of 2434003000 is 3004342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434003009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 134490 + ... + 151510.

Almost surely, 22434003000 is an apocalyptic number.

2434003000 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 2434003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345844320).

2434003000 is an abundant number, since it is smaller than the sum of its proper divisors (4257685640).

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

2434003000 is a wasteful number, since it uses less digits than its factorization.

2434003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17066 (or 17052 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2434003000 is about 49335.6159381840. The cubic root of 2434003000 is about 1345.1592520213.

Adding to 2434003000 its reverse (3004342), we get a palindrome (2437007342).

The spelling of 2434003000 in words is "two billion, four hundred thirty-four million, three thousand".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 125 130 143 200 220 250 260 275 286 325 440 500 520 550 572 650 715 1000 1100 1144 1300 1375 1430 1625 2200 2600 2750 2860 3250 3575 5500 5720 6500 7150 11000 13000 14300 17021 17875 28600 34042 35750 68084 71500 85105 136168 143000 170210 187231 221273 340420 374462 425525 442546 680840 748924 851050 885092 936155 1106365 1497848 1702100 1770184 1872310 2127625 2212730 2434003 3404200 3744620 4255250 4425460 4680775 4868006 5531825 7489240 8510500 8850920 9361550 9736012 11063650 12170015 17021000 18723100 19472024 22127300 23403875 24340030 27659125 37446200 44254600 46807750 48680060 55318250 60850075 93615500 97360120 110636500 121700150 187231000 221273000 243400300 304250375 486800600 608500750 1217001500 2434003000