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300102144 = 293474157
BaseRepresentation
bin10001111000110…
…011001000000000
3202220200202202020
4101320303020000
51103311232034
645440121440
710302553236
oct2170631000
9686622666
10300102144
11144444201
1284606280
134a235444
142bbdc956
151b52e249
hex11e33200

300102144 has 80 divisors (see below), whose sum is σ = 816697728. Its totient is φ = 97882112.

The previous prime is 300102113. The next prime is 300102157. The reversal of 300102144 is 441201003.

It is a super-2 number, since 2×3001021442 = 180122593666793472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70114 + ... + 74270.

Almost surely, 2300102144 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 300102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408348864).

300102144 is an abundant number, since it is smaller than the sum of its proper divisors (516595584).

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

300102144 is an equidigital number, since it uses as much as digits as its factorization.

300102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 300102144 is about 17323.4564680378. The cubic root of 300102144 is about 669.5089176380.

Adding to 300102144 its reverse (441201003), we get a palindrome (741303147).

The spelling of 300102144 in words is "three hundred million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1128 1504 1536 2256 3008 4157 4512 6016 8314 9024 12032 12471 16628 18048 24064 24942 33256 36096 49884 66512 72192 99768 133024 195379 199536 266048 390758 399072 532096 586137 781516 798144 1064192 1172274 1563032 1596288 2128384 2344548 3126064 3192576 4689096 6252128 6385152 9378192 12504256 18756384 25008512 37512768 50017024 75025536 100034048 150051072 300102144