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3009088000 = 295347017
BaseRepresentation
bin1011001101011011…
…0000101000000000
321202201010111201201
42303112300220000
522130311304000
61214331110544
7134365553212
oct26326605000
97681114651
103009088000
111304608396
126bb8a2454
1338c546c59
142078d05b2
1512928b96a
hexb35b0a00

3009088000 has 80 divisors (see below), whose sum is σ = 7503508584. Its totient is φ = 1203609600.

The previous prime is 3009087923. The next prime is 3009088021. The reversal of 3009088000 is 8809003.

It can be written as a sum of positive squares in 4 ways, for example, as 1780164864 + 1228923136 = 42192^2 + 35056^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×30090880002 = 18109221183488000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3009088000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40492 + ... + 87508.

Almost surely, 23009088000 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 3009088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751754292).

3009088000 is an abundant number, since it is smaller than the sum of its proper divisors (4494420584).

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

3009088000 is an frugal number, since it uses more digits than its factorization.

3009088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47050 (or 47024 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 3009088000 is about 54855.1547258779. The cubic root of 3009088000 is about 1443.7044537520.

The spelling of 3009088000 in words is "three billion, nine million, eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 47017 64000 94034 188068 235085 376136 470170 752272 940340 1175425 1504544 1880680 2350850 3009088 3761360 4701700 5877125 6018176 7522720 9403400 11754250 12036352 15045440 18806800 23508500 24072704 30090880 37613600 47017000 60181760 75227200 94034000 120363520 150454400 188068000 300908800 376136000 601817600 752272000 1504544000 3009088000