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320050000 = 245537173
BaseRepresentation
bin10011000100111…
…001001101010000
3211022020020001201
4103010321031100
51123413100000
651431440544
710634244244
oct2304711520
9738206051
10320050000
11154729336
128b226154
13513cabca
1430712424
151d16e96a
hex13139350

320050000 has 120 divisors (see below), whose sum is σ = 800620632. Its totient is φ = 123840000.

The previous prime is 320049997. The next prime is 320050009. The reversal of 320050000 is 50023.

It can be written as a sum of positive squares in 12 ways, for example, as 244985104 + 75064896 = 15652^2 + 8664^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320050009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1849914 + ... + 1850086.

Almost surely, 2320050000 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 320050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400310316).

320050000 is an abundant number, since it is smaller than the sum of its proper divisors (480570632).

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

320050000 is an equidigital number, since it uses as much as digits as its factorization.

320050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 320050000 is about 17889.9413078970. The cubic root of 320050000 is about 684.0260013143.

The spelling of 320050000 in words is "three hundred twenty million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 173 185 200 250 296 346 370 400 500 592 625 692 740 865 925 1000 1250 1384 1480 1730 1850 2000 2500 2768 2960 3125 3460 3700 4325 4625 5000 6250 6401 6920 7400 8650 9250 10000 12500 12802 13840 14800 17300 18500 21625 23125 25000 25604 32005 34600 37000 43250 46250 50000 51208 64010 69200 74000 86500 92500 102416 108125 115625 128020 160025 173000 185000 216250 231250 256040 320050 346000 370000 432500 462500 512080 540625 640100 800125 865000 925000 1081250 1280200 1600250 1730000 1850000 2162500 2560400 3200500 4000625 4325000 6401000 8001250 8650000 12802000 16002500 20003125 32005000 40006250 64010000 80012500 160025000 320050000