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3040001200 = 2452171672677
BaseRepresentation
bin1011010100110010…
…1011110010110000
321211212022001200001
42311030223302300
522211220014300
61221353435344
7135222404155
oct26514536260
97755261601
103040001200
111320001995
1270a10bb54
13395a7b7a2
1420ba5a22c
1512bd4616a
hexb532bcb0

3040001200 has 120 divisors (see below), whose sum is σ = 7782439392. Its totient is φ = 1137192960.

The previous prime is 3040001161. The next prime is 3040001207. The reversal of 3040001200 is 21000403.

3040001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3040001207) 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, 1134262 + ... + 1136938.

Almost surely, 23040001200 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 3040001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891219696).

3040001200 is an abundant number, since it is smaller than the sum of its proper divisors (4742438192).

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

3040001200 is a wasteful number, since it uses less digits than its factorization.

3040001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3040001200 is about 55136.2058905036. The cubic root of 3040001200 is about 1448.6314792977.

Adding to 3040001200 its reverse (21000403), we get a palindrome (3061001603).

The spelling of 3040001200 in words is "three billion, forty million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 167 170 200 272 334 340 400 425 668 680 835 850 1336 1360 1670 1700 2672 2677 2839 3340 3400 4175 5354 5678 6680 6800 8350 10708 11356 13360 13385 14195 16700 21416 22712 26770 28390 33400 42832 45424 45509 53540 56780 66800 66925 70975 91018 107080 113560 133850 141950 182036 214160 227120 227545 267700 283900 364072 447059 455090 535400 567800 728144 894118 910180 1070800 1135600 1137725 1788236 1820360 2235295 2275450 3576472 3640720 4470590 4550900 7152944 7600003 8941180 9101800 11176475 15200006 17882360 18203600 22352950 30400012 35764720 38000015 44705900 60800024 76000030 89411800 121600048 152000060 178823600 190000075 304000120 380000150 608000240 760000300 1520000600 3040001200