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3002424300 = 2233527315233
BaseRepresentation
bin1011001011110101…
…0101101111101100
321202020120221212000
42302331111233230
522122110034200
61213532212300
7134255120421
oct26275255754
97666527760
103002424300
1113008768a7
126b960a090
1338b052b35
14206a77d48
151288c2300
hexb2f55bec

3002424300 has 144 divisors (see below), whose sum is σ = 9785102880. Its totient is φ = 789626880.

The previous prime is 3002424283. The next prime is 3002424319. The reversal of 3002424300 is 34242003.

It is a super-4 number, since 4×30024243004 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189484 + ... + 204716.

Almost surely, 23002424300 is an apocalyptic number.

3002424300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892551440).

3002424300 is an abundant number, since it is smaller than the sum of its proper divisors (6782678580).

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

3002424300 is a wasteful number, since it uses less digits than its factorization.

3002424300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15329 (or 15316 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3002424300 is about 54794.3820112975. The cubic root of 3002424300 is about 1442.6379596663.

Adding to 3002424300 its reverse (34242003), we get a palindrome (3036666303).

The spelling of 3002424300 in words is "three billion, two million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 73 75 90 100 108 135 146 150 180 219 225 270 292 300 365 438 450 540 657 675 730 876 900 1095 1314 1350 1460 1825 1971 2190 2628 2700 3285 3650 3942 4380 5475 6570 7300 7884 9855 10950 13140 15233 16425 19710 21900 30466 32850 39420 45699 49275 60932 65700 76165 91398 98550 137097 152330 182796 197100 228495 274194 304660 380825 411291 456990 548388 685485 761650 822582 913980 1112009 1142475 1370970 1523300 1645164 2056455 2224018 2284950 2741940 3336027 3427425 4112910 4448036 4569900 5560045 6672054 6854850 8225820 10008081 10282275 11120090 13344108 13709700 16680135 20016162 20564550 22240180 27800225 30024243 33360270 40032324 41129100 50040405 55600450 60048486 66720540 83400675 100080810 111200900 120096972 150121215 166801350 200161620 250202025 300242430 333602700 500404050 600484860 750606075 1000808100 1501212150 3002424300