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4004334132 = 22319234091867
BaseRepresentation
bin1110111010101101…
…0100101000110100
3101100001212020202120
43232223110220310
531200102143012
61501202435540
7201142164351
oct35653245064
911301766676
104004334132
111775384557
12939062bb0
134ba7ab3a6
1429db61628
1518682e58c
hexeead4a34

4004334132 has 96 divisors (see below), whose sum is σ = 10293427200. Its totient is φ = 1205943552.

The previous prime is 4004334097. The next prime is 4004334137. The reversal of 4004334132 is 2314334004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004334137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2143863 + ... + 2145729.

It is an arithmetic number, because the mean of its divisors is an integer number (107223200).

Almost surely, 24004334132 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 4004334132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146713600).

4004334132 is an abundant number, since it is smaller than the sum of its proper divisors (6289093068).

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

4004334132 is a wasteful number, since it uses less digits than its factorization.

4004334132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4004334132 is about 63279.8082487613. The cubic root of 4004334132 is about 1587.9741788254.

Adding to 4004334132 its reverse (2314334004), we get a palindrome (6318668136).

The spelling of 4004334132 in words is "four billion, four million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 409 437 818 874 1227 1311 1636 1748 1867 2454 2622 3734 4908 5244 5601 7468 7771 9407 11202 15542 18814 22404 23313 28221 31084 35473 37628 42941 46626 56442 70946 85882 93252 106419 112884 128823 141892 171764 178733 212838 257646 357466 425676 515292 536199 714932 763603 815879 1072398 1527206 1631758 2144796 2290809 2447637 3054412 3263516 4581618 4895274 9163236 9790548 14508457 17562869 29016914 35125738 43525371 52688607 58033828 70251476 87050742 105377214 174101484 210754428 333694511 667389022 1001083533 1334778044 2002167066 4004334132