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3023431300 = 2252172233449
BaseRepresentation
bin1011010000110101…
…1110011010000100
321210201010020001001
42310031132122010
522142444300200
61220002343044
7134631512341
oct26415363204
97721106031
103023431300
11131171475a
1270465aa84
133924c9706
142097857c8
1512a67176a
hexb435e684

3023431300 has 108 divisors (see below), whose sum is σ = 7014980700. Its totient is φ = 1130823680.

The previous prime is 3023431247. The next prime is 3023431321. The reversal of 3023431300 is 31343203.

It can be written as a sum of positive squares in 18 ways, for example, as 1358954496 + 1664476804 = 36864^2 + 40798^2 .

It is a super-2 number, since 2×30234313002 = 18282273651639380000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6733476 + ... + 6733924.

It is an arithmetic number, because the mean of its divisors is an integer number (64953525).

Almost surely, 23023431300 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 3023431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507490350).

3023431300 is an abundant number, since it is smaller than the sum of its proper divisors (3991549400).

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

3023431300 is a wasteful number, since it uses less digits than its factorization.

3023431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 3023431300 is about 54985.7372415793. The cubic root of 3023431300 is about 1445.9947015053.

Adding to 3023431300 its reverse (31343203), we get a palindrome (3054774503).

The spelling of 3023431300 in words is "three billion, twenty-three million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 233 289 340 425 449 466 578 850 898 932 1156 1165 1445 1700 1796 2245 2330 2890 3961 4490 4660 5780 5825 7225 7633 7922 8980 11225 11650 14450 15266 15844 19805 22450 23300 28900 30532 38165 39610 44900 67337 76330 79220 99025 104617 129761 134674 152660 190825 198050 209234 259522 269348 336685 381650 396100 418468 519044 523085 648805 673370 763300 1046170 1297610 1346740 1683425 1778489 2092340 2595220 2615425 3244025 3366850 3556978 5230850 6488050 6733700 7113956 8892445 10461700 12976100 17784890 30234313 35569780 44462225 60468626 88924450 120937252 151171565 177848900 302343130 604686260 755857825 1511715650 3023431300