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320240000 = 27544003
BaseRepresentation
bin10011000101100…
…111100110000000
3211022120212200202
4103011213212000
51123440140000
651435504332
710635665213
oct2305474600
9738525622
10320240000
11154849063
128b2b80a8
1351466532
143076177a
151d1aadd5
hex13167980

320240000 has 80 divisors (see below), whose sum is σ = 797416620. Its totient is φ = 128064000.

The previous prime is 320239991. The next prime is 320240027. The reversal of 320240000 is 42023.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77999 + ... + 82001.

Almost surely, 2320240000 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 320240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398708310).

320240000 is an abundant number, since it is smaller than the sum of its proper divisors (477176620).

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

320240000 is an frugal number, since it uses more digits than its factorization.

320240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 320240000 is about 17895.2507666140. The cubic root of 320240000 is about 684.1613335338.

Adding to 320240000 its reverse (42023), we get a palindrome (320282023).

The spelling of 320240000 in words is "three hundred twenty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 4003 5000 8000 8006 10000 16000 16012 20000 20015 32024 40000 40030 64048 80000 80060 100075 128096 160120 200150 256192 320240 400300 500375 512384 640480 800600 1000750 1280960 1601200 2001500 2501875 2561920 3202400 4003000 5003750 6404800 8006000 10007500 12809600 16012000 20015000 32024000 40030000 64048000 80060000 160120000 320240000