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3124330000 = 24541128403
BaseRepresentation
bin1011101000111001…
…0111111000010000
322001201222102000221
42322032113320100
522344312030000
61234005122424
7140265236551
oct27216277020
98051872027
103124330000
11136366a410
127323b9414
133aa39629c
14218d2c328
1513445261a
hexba397e10

3124330000 has 100 divisors (see below), whose sum is σ = 8252270928. Its totient is φ = 1136080000.

The previous prime is 3124329983. The next prime is 3124330031. The reversal of 3124330000 is 334213.

3124330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×31243300002 = 19522875897800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95799 + ... + 124201.

Almost surely, 23124330000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3124330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126135464).

3124330000 is an abundant number, since it is smaller than the sum of its proper divisors (5127940928).

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

3124330000 is a wasteful number, since it uses less digits than its factorization.

3124330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28442 (or 28421 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3124330000 is about 55895.7064540739. The cubic root of 3124330000 is about 1461.9043767378.

Adding to 3124330000 its reverse (334213), we get a palindrome (3124664213).

The spelling of 3124330000 in words is "three billion, one hundred twenty-four million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 28403 55000 56806 110000 113612 142015 227224 284030 312433 454448 568060 624866 710075 1136120 1249732 1420150 1562165 2272240 2499464 2840300 3124330 3550375 4998928 5680600 6248660 7100750 7810825 11361200 12497320 14201500 15621650 17751875 24994640 28403000 31243300 35503750 39054125 56806000 62486600 71007500 78108250 124973200 142015000 156216500 195270625 284030000 312433000 390541250 624866000 781082500 1562165000 3124330000