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3341007072 = 2532133132851
BaseRepresentation
bin1100011100100011…
…1011100011100000
322121211200202002200
43013020323203200
523320244211242
61311305213200
7145536043254
oct30710734340
98554622080
103341007072
111464a03077
12792a91200
1341323c380
14239a12264
151484a304c
hexc723b8e0

3341007072 has 144 divisors (see below), whose sum is σ = 10268124048. Its totient is φ = 1024358400.

The previous prime is 3341007049. The next prime is 3341007073. The reversal of 3341007072 is 2707001433.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33410070722 = 22324656510308026368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3341007073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170447 + ... + 1173297.

It is an arithmetic number, because the mean of its divisors is an integer number (71306417).

Almost surely, 23341007072 is an apocalyptic number.

3341007072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3341007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134062024).

3341007072 is an abundant number, since it is smaller than the sum of its proper divisors (6927116976).

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

3341007072 is a wasteful number, since it uses less digits than its factorization.

3341007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3341007072 is about 57801.4452414470. The cubic root of 3341007072 is about 1494.9470079612.

The spelling of 3341007072 in words is "three billion, three hundred forty-one million, seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 313 416 468 624 626 936 939 1248 1252 1872 1878 2504 2817 2851 3744 3756 4069 5008 5634 5702 7512 8138 8553 10016 11268 11404 12207 15024 16276 17106 22536 22808 24414 25659 30048 32552 34212 36621 37063 45072 45616 48828 51318 65104 68424 73242 74126 90144 91232 97656 102636 111189 130208 136848 146484 148252 195312 205272 222378 273696 292968 296504 333567 390624 410544 444756 585936 593008 667134 821088 889512 892363 1171872 1186016 1334268 1779024 1784726 2668536 2677089 3558048 3569452 5337072 5354178 7138904 8031267 10674144 10708356 11600719 14277808 16062534 21416712 23201438 28555616 32125068 34802157 42833424 46402876 64250136 69604314 85666848 92805752 104406471 128500272 139208628 185611504 208812942 257000544 278417256 371223008 417625884 556834512 835251768 1113669024 1670503536 3341007072