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30341152000 = 28531974813
BaseRepresentation
bin11100010000011110…
…010011110100000000
32220022112020012221101
4130100132103310000
5444114313331000
621534420104144
72122611352045
oct342036236400
986275205841
1030341152000
111195a875635
125a69235054
132b26c70ba3
14167b8911cc
15bc8a65e6a
hex710793d00

30341152000 has 144 divisors (see below), whose sum is σ = 75983059152. Its totient is φ = 12072345600.

The previous prime is 30341151959. The next prime is 30341152001. The reversal of 30341152000 is 25114303.

It can be written as a sum of positive squares in 8 ways, for example, as 713103616 + 29628048384 = 26704^2 + 172128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30341152001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6301594 + ... + 6306406.

It is an arithmetic number, because the mean of its divisors is an integer number (527660133).

Almost surely, 230341152000 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 30341152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37991529576).

30341152000 is an abundant number, since it is smaller than the sum of its proper divisors (45641907152).

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

30341152000 is an equidigital number, since it uses as much as digits as its factorization.

30341152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 30341152000 its reverse (25114303), we get a palindrome (30366266303).

The spelling of 30341152000 in words is "thirty billion, three hundred forty-one million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 197 200 250 256 320 394 400 500 640 788 800 985 1000 1280 1576 1600 1970 2000 3152 3200 3940 4000 4813 4925 6304 6400 7880 8000 9626 9850 12608 15760 16000 19252 19700 24065 24625 25216 31520 32000 38504 39400 48130 49250 50432 63040 77008 78800 96260 98500 120325 126080 154016 157600 192520 197000 240650 252160 308032 315200 385040 394000 481300 601625 616064 630400 770080 788000 948161 962600 1203250 1232128 1260800 1540160 1576000 1896322 1925200 2406500 3080320 3152000 3792644 3850400 4740805 4813000 6160640 6304000 7585288 7700800 9481610 9626000 15170576 15401600 18963220 19252000 23704025 30341152 30803200 37926440 38504000 47408050 60682304 75852880 77008000 94816100 118520125 121364608 151705760 154016000 189632200 237040250 242729216 303411520 379264400 474080500 606823040 758528800 948161000 1213646080 1517057600 1896322000 3034115200 3792644000 6068230400 7585288000 15170576000 30341152000