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320312500 = 225941
BaseRepresentation
bin10011000101111…
…001010010110100
3211022201120010221
4103011321102310
51124000000000
651441224124
710636416454
oct2305712264
9738646127
10320312500
11154898582
128b332044
1351490531
143077dd64
151d1c261a
hex131794b4

320312500 has 60 divisors (see below), whose sum is σ = 717773364. Its totient is φ = 125000000.

The previous prime is 320312477. The next prime is 320312533. The reversal of 320312500 is 5213023.

It can be written as a sum of positive squares in 10 ways, for example, as 5817744 + 314494756 = 2412^2 + 17734^2 .

It is a sliding number, since 320312500 = 312500 + 320000000 and 1/312500 + 1/320000000 = 0.00000320312500.

It is a congruent number.

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, 7812480 + ... + 7812520.

Almost surely, 2320312500 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 320312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358886682).

320312500 is an abundant number, since it is smaller than the sum of its proper divisors (397460864).

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

320312500 is an frugal number, since it uses more digits than its factorization.

320312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 320312500 is about 17897.2763290954. The cubic root of 320312500 is about 684.2129593498.

Adding to 320312500 its reverse (5213023), we get a palindrome (325525523).

It can be divided in two parts, 320 and 312500, that multiplied together give a 8-th power (100000000 = 108).

The spelling of 320312500 in words is "three hundred twenty million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 625 820 1025 1250 2050 2500 3125 4100 5125 6250 10250 12500 15625 20500 25625 31250 51250 62500 78125 102500 128125 156250 256250 312500 390625 512500 640625 781250 1281250 1562500 1953125 2562500 3203125 3906250 6406250 7812500 12812500 16015625 32031250 64062500 80078125 160156250 320312500