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3132161340 = 2235721196851
BaseRepresentation
bin1011101010110000…
…1111110100111100
322002021201021121120
42322230033310330
522403313130330
61234445030540
7140421634500
oct27254176474
98067637546
103132161340
1113680291a0
12734b55450
133abba8a09
14219daa300
15134e9cc10
hexbab0fd3c

3132161340 has 144 divisors (see below), whose sum is σ = 11129457024. Its totient is φ = 650832000.

The previous prime is 3132161309. The next prime is 3132161371. The reversal of 3132161340 is 431612313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3132161309) and next prime (3132161371).

It is a self number, because there is not a number n which added to its sum of digits gives 3132161340.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16086 + ... + 80765.

It is an arithmetic number, because the mean of its divisors is an integer number (77287896).

Almost surely, 23132161340 is an apocalyptic number.

3132161340 is a gapful number since it is divisible by the number (30) 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 3132161340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564728512).

3132161340 is an abundant number, since it is smaller than the sum of its proper divisors (7997295684).

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

3132161340 is a wasteful number, since it uses less digits than its factorization.

3132161340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96888 (or 96879 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3132161340 is about 55965.7157552729. The cubic root of 3132161340 is about 1463.1248109753.

Adding to 3132161340 its reverse (431612313), we get a palindrome (3563773653).

The spelling of 3132161340 in words is "three billion, one hundred thirty-two million, one hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6468 8085 10780 16170 32340 96851 193702 290553 387404 484255 581106 677957 968510 1065361 1162212 1355914 1452765 1937020 2033871 2130722 2711828 2905530 3196083 3389785 4067742 4261444 4745699 5326805 5811060 6392166 6779570 7457527 8135484 9491398 10169355 10653610 12784332 13559140 14237097 14915054 15980415 18982796 20338710 21307220 22372581 23728495 28474194 29830108 31960830 37287635 40677420 44745162 47456990 52202689 56948388 63921660 71185485 74575270 89490324 94913980 104405378 111862905 142370970 149150540 156608067 208810756 223725810 261013445 284741940 313216134 447451620 522026890 626432268 783040335 1044053780 1566080670 3132161340