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3000320000 = 21454293
BaseRepresentation
bin1011001011010101…
…0100000000000000
321202002122001021222
42302311110000000
522121040220000
61213415134212
7134231204426
oct26265240000
97662561258
103000320000
1112aa669907
126b8974368
1338a7970a2
1420668b116
15128608a85
hexb2d54000

3000320000 has 150 divisors (see below), whose sum is σ = 7523761938. Its totient is φ = 1196032000.

The previous prime is 3000319991. The next prime is 3000320003. The reversal of 3000320000 is 230003.

It can be written as a sum of positive squares in 5 ways, for example, as 456933376 + 2543386624 = 21376^2 + 50432^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 3000320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000320003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10239854 + ... + 10240146.

Almost surely, 23000320000 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 3000320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761880969).

3000320000 is an abundant number, since it is smaller than the sum of its proper divisors (4523441938).

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

3000320000 is an frugal number, since it uses more digits than its factorization.

3000320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 3000320000 is about 54775.1768595958. The cubic root of 3000320000 is about 1442.3008484690.

Adding to 3000320000 its reverse (230003), we get a palindrome (3000550003).

The spelling of 3000320000 in words is "three billion, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 293 320 400 500 512 586 625 640 800 1000 1024 1172 1250 1280 1465 1600 2000 2048 2344 2500 2560 2930 3200 4000 4096 4688 5000 5120 5860 6400 7325 8000 8192 9376 10000 10240 11720 12800 14650 16000 16384 18752 20000 20480 23440 25600 29300 32000 36625 37504 40000 40960 46880 51200 58600 64000 73250 75008 80000 81920 93760 102400 117200 128000 146500 150016 160000 183125 187520 204800 234400 256000 293000 300032 320000 366250 375040 409600 468800 512000 586000 600064 640000 732500 750080 937600 1024000 1172000 1200128 1280000 1465000 1500160 1875200 2048000 2344000 2400256 2560000 2930000 3000320 3750400 4688000 4800512 5120000 5860000 6000640 7500800 9376000 10240000 11720000 12001280 15001600 18752000 23440000 24002560 30003200 37504000 46880000 60006400 75008000 93760000 120012800 150016000 187520000 300032000 375040000 600064000 750080000 1500160000 3000320000