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3001230000 = 24325433347
BaseRepresentation
bin1011001011100011…
…0010001010110000
321202011100021120200
42302320302022300
522121303330000
61213450435200
7134242014456
oct26270621260
97664307520
103001230000
11130013057a
126b9132b00
1338aa25352
142068469d6
15128738500
hexb2e322b0

3001230000 has 150 divisors (see below), whose sum is σ = 10496049564. Its totient is φ = 800304000.

The previous prime is 3001229953. The next prime is 3001230007. The reversal of 3001230000 is 321003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3001230007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 73327 + ... + 106673.

Almost surely, 23001230000 is an apocalyptic number.

3001230000 is a gapful number since it is divisible by the number (30) 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 3001230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248024782).

3001230000 is an abundant number, since it is smaller than the sum of its proper divisors (7494819564).

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

3001230000 is a wasteful number, since it uses less digits than its factorization.

3001230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33381 (or 33357 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3001230000 is about 54783.4829122793. The cubic root of 3001230000 is about 1442.4466508168.

Adding to 3001230000 its reverse (321003), we get a palindrome (3001551003).

The spelling of 3001230000 in words is "three billion, one million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 33347 45000 66694 90000 100041 133388 166735 200082 266776 300123 333470 400164 500205 533552 600246 666940 800328 833675 1000410 1200492 1333880 1500615 1600656 1667350 2000820 2400984 2501025 2667760 3001230 3334700 4001640 4168375 4801968 5002050 6002460 6669400 7503075 8003280 8336750 10004100 12004920 12505125 13338800 15006150 16673500 20008200 20841875 24009840 25010250 30012300 33347000 37515375 40016400 41683750 50020500 60024600 62525625 66694000 75030750 83367500 100041000 120049200 125051250 150061500 166735000 187576875 200082000 250102500 300123000 333470000 375153750 500205000 600246000 750307500 1000410000 1500615000 3001230000