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3342134010 = 2351971269307
BaseRepresentation
bin1100011100110100…
…1110101011111010
322121220210222222010
43013031032223322
523321041242020
61311345310350
7145551445635
oct30715165372
98556728863
103342134010
111465602826
127933353b6
134135452b7
14239c26c1c
15148626de0
hexc734eafa

3342134010 has 128 divisors (see below), whose sum is σ = 8622028800. Its totient is φ = 826640640.

The previous prime is 3342133981. The next prime is 3342134011. The reversal of 3342134010 is 104312433.

It is a super-2 number, since 2×33421340102 = 22339719481597360200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3342134011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10886277 + ... + 10886583.

It is an arithmetic number, because the mean of its divisors is an integer number (67359600).

Almost surely, 23342134010 is an apocalyptic number.

3342134010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342134010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311014400).

3342134010 is an abundant number, since it is smaller than the sum of its proper divisors (5279894790).

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

3342134010 is a wasteful number, since it uses less digits than its factorization.

3342134010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3342134010 is about 57811.1927744100. The cubic root of 3342134010 is about 1495.1150733748.

Adding to 3342134010 its reverse (104312433), we get a palindrome (3446446443).

The spelling of 3342134010 in words is "three billion, three hundred forty-two million, one hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 71 95 114 142 190 213 269 285 307 355 426 538 570 614 710 807 921 1065 1345 1349 1535 1614 1842 2130 2690 2698 3070 4035 4047 4605 5111 5833 6745 8070 8094 9210 10222 11666 13490 15333 17499 19099 20235 21797 25555 29165 30666 34998 38198 40470 43594 51110 57297 58330 65391 76665 82583 87495 95495 108985 114594 130782 153330 165166 174990 190990 217970 247749 286485 326955 362881 412915 414143 495498 572970 653910 725762 825830 828286 1088643 1238745 1242429 1569077 1814405 2070715 2177286 2477490 2484858 3138154 3628810 4141430 4707231 5443215 5863393 6212145 7845385 9414462 10886430 11726786 12424290 15690770 17590179 23536155 29316965 35180358 47072310 58633930 87950895 111404467 175901790 222808934 334213401 557022335 668426802 1114044670 1671067005 3342134010