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3413300142 = 2372310973221
BaseRepresentation
bin1100101101110010…
…1101001110101110
322210212201121112210
43023130231032232
523442301101032
61322410511250
7150404400240
oct31334551656
98725647483
103413300142
1114a179aa0a
127b3135526
13425201835
14245470090
1514e9d32cc
hexcb72d3ae

3413300142 has 64 divisors (see below), whose sum is σ = 8150989824. Its totient is φ = 931687680.

The previous prime is 3413300113. The next prime is 3413300153. The reversal of 3413300142 is 2410033143.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 1058092 + ... + 1061312.

It is an arithmetic number, because the mean of its divisors is an integer number (127359216).

Almost surely, 23413300142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413300142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075494912).

3413300142 is an abundant number, since it is smaller than the sum of its proper divisors (4737689682).

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

3413300142 is a wasteful number, since it uses less digits than its factorization.

3413300142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353.

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

The square root of 3413300142 is about 58423.4554096212. The cubic root of 3413300142 is about 1505.6527658437.

Adding to 3413300142 its reverse (2410033143), we get a palindrome (5823333285).

The spelling of 3413300142 in words is "three billion, four hundred thirteen million, three hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 1097 2194 3221 3291 6442 6582 7679 9663 15358 19326 22547 23037 25231 45094 46074 50462 67641 74083 75693 135282 148166 151386 176617 222249 353234 444498 518581 529851 1037162 1059702 1555743 3111486 3533437 7066874 10600311 21200622 24734059 49468118 74202177 81269051 148404354 162538102 243807153 487614306 568883357 1137766714 1706650071 3413300142