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3340133140 = 2251723538059
BaseRepresentation
bin1100011100010110…
…0110001100010100
322121210001100021211
43013011212030110
523320033230030
61311234351204
7145525443331
oct30705461424
98553040254
103340133140
111464466513
1279272b504
13412cc4656
14239865988
1514837e12a
hexc7166314

3340133140 has 96 divisors (see below), whose sum is σ = 7896994560. Its totient is φ = 1179949056.

The previous prime is 3340133129. The next prime is 3340133143. The reversal of 3340133140 is 413310433.

It is a happy number.

It is a super-2 number, since 2×33401331402 = 22312978785852519200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340133143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410431 + ... + 418489.

It is an arithmetic number, because the mean of its divisors is an integer number (82260360).

Almost surely, 23340133140 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 3340133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948497280).

3340133140 is an abundant number, since it is smaller than the sum of its proper divisors (4556861420).

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

3340133140 is a wasteful number, since it uses less digits than its factorization.

3340133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3340133140 is about 57793.8849706437. The cubic root of 3340133140 is about 1494.8166484686.

Adding to 3340133140 its reverse (413310433), we get a palindrome (3753443573).

The spelling of 3340133140 in words is "three billion, three hundred forty million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 53 68 85 92 106 115 170 212 230 265 340 391 460 530 782 901 1060 1219 1564 1802 1955 2438 3604 3910 4505 4876 6095 7820 8059 9010 12190 16118 18020 20723 24380 32236 40295 41446 80590 82892 103615 137003 161180 185357 207230 274006 370714 414460 427127 548012 685015 741428 854254 926785 1370030 1708508 1853570 2135635 2740060 3151069 3707140 4271270 6302138 7261159 8542540 9823921 12604276 14522318 15755345 19647842 29044636 31510690 36305795 39295684 49119605 63021380 72611590 98239210 145223180 167006657 196478420 334013314 668026628 835033285 1670066570 3340133140