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4033330104 = 2331753383487
BaseRepresentation
bin1111000001100111…
…1011101110111000
3101102002102101202110
43300121323232320
531230013030404
61504120132320
7201643511616
oct36031735670
911362371673
104033330104
11178a789671
129469070a0
134c37c137b
142a394c6b6
1518915ab89
hexf067bbb8

4033330104 has 128 divisors (see below), whose sum is σ = 10928701440. Its totient is φ = 1235699712.

The previous prime is 4033330079. The next prime is 4033330109. The reversal of 4033330104 is 4010333304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033330109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8281749 + ... + 8282235.

It is an arithmetic number, because the mean of its divisors is an integer number (85380480).

Almost surely, 24033330104 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 4033330104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464350720).

4033330104 is an abundant number, since it is smaller than the sum of its proper divisors (6895371336).

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

4033330104 is a wasteful number, since it uses less digits than its factorization.

4033330104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 4033330104 is about 63508.5041864473. The cubic root of 4033330104 is about 1591.7978824321.

Adding to 4033330104 its reverse (4010333304), we get a palindrome (8043663408).

The spelling of 4033330104 in words is "four billion, thirty-three million, three hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 383 408 424 487 636 766 901 974 1149 1272 1461 1532 1802 1948 2298 2703 2922 3064 3604 3896 4596 5406 5844 6511 7208 8279 9192 10812 11688 13022 16558 19533 20299 21624 24837 25811 26044 33116 39066 40598 49674 51622 52088 60897 66232 77433 78132 81196 99348 103244 121794 154866 156264 162392 186521 198696 206488 243588 309732 345083 373042 438787 487176 559563 619464 690166 746084 877574 1035249 1119126 1316361 1380332 1492168 1755148 2070498 2238252 2632722 2760664 3170857 3510296 4140996 4476504 5265444 6341714 8281992 9512571 9885613 10530888 12683428 19025142 19771226 25366856 29656839 38050284 39542452 59313678 76100568 79084904 118627356 168055421 237254712 336110842 504166263 672221684 1008332526 1344443368 2016665052 4033330104