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34130341212 = 223111975717977
BaseRepresentation
bin11111110010010100…
…111010110101011100
310021002121020222100120
4133302110322311130
51024344331404322
623402415354540
72315532053652
oct376224726534
9107077228316
1034130341212
1113524762570
126746222a50
1332abcc1696
14191ac0add2
15d4b548a5c
hex7f253ad5c

34130341212 has 96 divisors (see below), whose sum is σ = 91575617280. Its totient is φ = 9784696320.

The previous prime is 34130341199. The next prime is 34130341229. The reversal of 34130341212 is 21214303143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1889568 + ... + 1907544.

It is an arithmetic number, because the mean of its divisors is an integer number (953912680).

Almost surely, 234130341212 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 34130341212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45787808640).

34130341212 is an abundant number, since it is smaller than the sum of its proper divisors (57445276068).

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

34130341212 is a wasteful number, since it uses less digits than its factorization.

34130341212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18771 (or 18769 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34130341212 its reverse (21214303143), we get a palindrome (55344644355).

The spelling of 34130341212 in words is "thirty-four billion, one hundred thirty million, three hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 757 836 1254 1514 2271 2508 3028 4542 8327 9084 14383 16654 17977 24981 28766 33308 35954 43149 49962 53931 57532 71908 86298 99924 107862 158213 172596 197747 215724 316426 341563 395494 474639 593241 632852 683126 790988 949278 1024689 1186482 1366252 1898556 2049378 2372964 3757193 4098756 7514386 11271579 13608589 15028772 22543158 27217178 40825767 45086316 54434356 81651534 149694479 163303068 258563191 299388958 449083437 517126382 598777916 775689573 898166874 1034252764 1551379146 1796333748 2844195101 3102758292 5688390202 8532585303 11376780404 17065170606 34130341212