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3330321104 = 2411414310733
BaseRepresentation
bin1100011010000000…
…1010101011010000
322121002120211201002
43012200022223100
523310030233404
61310244201132
7145346155655
oct30640125320
98532524632
103330321104
1114599745a0
1278b3991a8
13410c6a506
1423842dc2c
15147591c1e
hexc680aad0

3330321104 has 80 divisors (see below), whose sum is σ = 7379152704. Its totient is φ = 1442380800.

The previous prime is 3330321089. The next prime is 3330321107. The reversal of 3330321104 is 4011230333.

It is a super-2 number, since 2×33303211042 = 22182077311495557632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330321107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304922 + ... + 315654.

Almost surely, 23330321104 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 3330321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689576352).

3330321104 is an abundant number, since it is smaller than the sum of its proper divisors (4048831600).

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

3330321104 is a wasteful number, since it uses less digits than its factorization.

3330321104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3330321104 is about 57708.9343516236. The cubic root of 3330321104 is about 1493.3514792828.

Adding to 3330321104 its reverse (4011230333), we get a palindrome (7341551437).

The spelling of 3330321104 in words is "three billion, three hundred thirty million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 41 43 44 82 86 88 164 172 176 328 344 451 473 656 688 902 946 1763 1804 1892 3526 3608 3784 7052 7216 7568 10733 14104 19393 21466 28208 38786 42932 77572 85864 118063 155144 171728 236126 310288 440053 461519 472252 880106 923038 944504 1760212 1846076 1889008 3520424 3692152 4840583 5076709 7040848 7384304 9681166 10153418 18922279 19362332 20306836 37844558 38724664 40613672 75689116 77449328 81227344 151378232 208145069 302756464 416290138 832580276 1665160552 3330321104