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330203136 = 21533359
BaseRepresentation
bin10011101011101…
…000000000000000
3212000100001112210
4103223220000000
51134013000021
652433222120
711116452234
oct2353500000
9760301483
10330203136
1115a43355a
1292701940
1353544393
1431bd65c4
151dec7e76
hex13ae8000

330203136 has 64 divisors (see below), whose sum is σ = 880790400. Its totient is φ = 110034944.

The previous prime is 330203129. The next prime is 330203161. The reversal of 330203136 is 631302033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3302031362 = 218068222048468992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96625 + ... + 99983.

It is an arithmetic number, because the mean of its divisors is an integer number (13762350).

Almost surely, 2330203136 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 330203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440395200).

330203136 is an abundant number, since it is smaller than the sum of its proper divisors (550587264).

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

330203136 is an frugal number, since it uses more digits than its factorization.

330203136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 330203136 is about 18171.4923988097. The cubic root of 330203136 is about 691.1840874252.

Adding to 330203136 its reverse (631302033), we get a palindrome (961505169).

The spelling of 330203136 in words is "three hundred thirty million, two hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3359 4096 6144 6718 8192 10077 12288 13436 16384 20154 24576 26872 32768 40308 49152 53744 80616 98304 107488 161232 214976 322464 429952 644928 859904 1289856 1719808 2579712 3439616 5159424 6879232 10318848 13758464 20637696 27516928 41275392 55033856 82550784 110067712 165101568 330203136