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301989888 = 22532
BaseRepresentation
bin10010000000000…
…000000000000000
3210001020200020200
4102000000000000
51104302134023
645544405200
710324604664
oct2200000000
9701220220
10301989888
11145513522
1285176800
134a746755
142c1708a4
151b7a3743
hex12000000

301989888 has 78 divisors (see below), whose sum is σ = 872415219. Its totient is φ = 100663296.

The previous prime is 301989881. The next prime is 301989917. The reversal of 301989888 is 888989103.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)2 ⋅ (2!)19.

It can be written as a sum of positive squares in only one way, i.e., 150994944 + 150994944 = 12288^2 + 12288^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12288.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (301989881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 100663295 + 100663296 + 100663297.

Almost surely, 2301989888 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 301989888

301989888 is an abundant number, since it is smaller than the sum of its proper divisors (570425331).

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

301989888 is an frugal number, since it uses more digits than its factorization.

301989888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 301989888 is about 17377.8562544406. The cubic root of 301989888 is about 670.9097969175.

The spelling of 301989888 in words is "three hundred one million, nine hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 32768 36864 49152 65536 73728 98304 131072 147456 196608 262144 294912 393216 524288 589824 786432 1048576 1179648 1572864 2097152 2359296 3145728 4194304 4718592 6291456 8388608 9437184 12582912 16777216 18874368 25165824 33554432 37748736 50331648 75497472 100663296 150994944 301989888