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3134378412 = 22321127129207
BaseRepresentation
bin1011101011010010…
…1101000110101100
322002102212220212100
42322310231012230
522404400102122
61235004335100
7140446530324
oct27264550654
98072786770
103134378412
111369302990
12735844490
133ac4a3ba9
1421a3c6284
15135289aac
hexbad2d1ac

3134378412 has 72 divisors (see below), whose sum is σ = 8675476992. Its totient is φ = 946274400.

The previous prime is 3134378407. The next prime is 3134378413. The reversal of 3134378412 is 2148734313.

It is a super-2 number, since 2×31343784122 = 19648656059223283488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3134378413) 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 23 ways as a sum of consecutive naturals, for example, 92713 + ... + 121919.

It is an arithmetic number, because the mean of its divisors is an integer number (120492736).

Almost surely, 23134378412 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 3134378412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337738496).

3134378412 is an abundant number, since it is smaller than the sum of its proper divisors (5541098580).

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

3134378412 is a wasteful number, since it uses less digits than its factorization.

3134378412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29499 (or 29494 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3134378412 is about 55985.5196635702. The cubic root of 3134378412 is about 1463.4699494300.

The spelling of 3134378412 in words is "three billion, one hundred thirty-four million, three hundred seventy-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 271 396 542 813 1084 1626 2439 2981 3252 4878 5962 8943 9756 11924 17886 26829 29207 35772 53658 58414 87621 107316 116828 175242 262863 321277 350484 525726 642554 963831 1051452 1285108 1927662 2891493 3855324 5782986 7915097 11565972 15830194 23745291 31660388 47490582 71235873 87066067 94981164 142471746 174132134 261198201 284943492 348264268 522396402 783594603 1044792804 1567189206 3134378412