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33030144 = 219327
BaseRepresentation
bin111111000000…
…0000000000000
32022011002211200
41332000000000
531423431034
63135541200
7550515540
oct176000000
968132750
1033030144
1117710044
12b08a800
136ac6284
14455b320
152d76a99
hex1f80000

33030144 has 120 divisors (see below), whose sum is σ = 109051800. Its totient is φ = 9437184.

The previous prime is 33030121. The next prime is 33030163. The reversal of 33030144 is 44103033.

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

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4718589 + ... + 4718595.

It is an arithmetic number, because the mean of its divisors is an integer number (908765).

Almost surely, 233030144 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 33030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54525900).

33030144 is an abundant number, since it is smaller than the sum of its proper divisors (76021656).

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

33030144 is an frugal number, since it uses more digits than its factorization.

33030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 33030144 is about 5747.1857460848. The cubic root of 33030144 is about 320.8510678377.

Adding to 33030144 its reverse (44103033), we get a palindrome (77133177).

The spelling of 33030144 in words is "thirty-three million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 8192 9216 10752 12288 14336 16128 16384 18432 21504 24576 28672 32256 32768 36864 43008 49152 57344 64512 65536 73728 86016 98304 114688 129024 131072 147456 172032 196608 229376 258048 262144 294912 344064 393216 458752 516096 524288 589824 688128 786432 917504 1032192 1179648 1376256 1572864 1835008 2064384 2359296 2752512 3670016 4128768 4718592 5505024 8257536 11010048 16515072 33030144