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330211104 = 25343167479
BaseRepresentation
bin10011101011101…
…001111100100000
3212000100110110220
4103223221330200
51134013223404
652433323040
711116514406
oct2353517440
9760313426
10330211104
1115a439543
1292706480
1353547bb2
1431bd9476
151deca4d9
hex13ae9f20

330211104 has 96 divisors (see below), whose sum is σ = 894136320. Its totient is φ = 106643712.

The previous prime is 330211097. The next prime is 330211159. The reversal of 330211104 is 401112033.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689137 + ... + 689615.

It is an arithmetic number, because the mean of its divisors is an integer number (9313920).

Almost surely, 2330211104 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 330211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447068160).

330211104 is an abundant number, since it is smaller than the sum of its proper divisors (563925216).

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

330211104 is a wasteful number, since it uses less digits than its factorization.

330211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 330211104 is about 18171.7116420000. The cubic root of 330211104 is about 691.1896469428.

Adding to 330211104 its reverse (401112033), we get a palindrome (731323137).

The spelling of 330211104 in words is "three hundred thirty million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 167 172 258 334 344 479 501 516 668 688 958 1002 1032 1336 1376 1437 1916 2004 2064 2672 2874 3832 4008 4128 5344 5748 7181 7664 8016 11496 14362 15328 16032 20597 21543 22992 28724 41194 43086 45984 57448 61791 79993 82388 86172 114896 123582 159986 164776 172344 229792 239979 247164 319972 329552 344688 479958 494328 639944 659104 689376 959916 988656 1279888 1919832 1977312 2559776 3439699 3839664 6879398 7679328 10319097 13758796 20638194 27517592 41276388 55035184 82552776 110070368 165105552 330211104