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3411642060 = 2232519796211
BaseRepresentation
bin1100101101011001…
…1000011011001100
322210202121101002100
43023112120123030
523441340021220
61322311155100
7150354323211
oct31326303314
98722541070
103411642060
1114a08681a2
127b2675a90
13424a70c18
1424515bb08
1514e7a6d90
hexcb5986cc

3411642060 has 72 divisors (see below), whose sum is σ = 10401286896. Its totient is φ = 905143680.

The previous prime is 3411642053. The next prime is 3411642119. The reversal of 3411642060 is 602461143.

3411642060 is a `hidden beast` number, since 3 + 4 + 11 + 642 + 0 + 6 + 0 = 666.

3411642060 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34116420602 = 23278603091122087200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12646 + ... + 83565.

It is an arithmetic number, because the mean of its divisors is an integer number (144462318).

Almost surely, 23411642060 is an apocalyptic number.

3411642060 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 3411642060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200643448).

3411642060 is an abundant number, since it is smaller than the sum of its proper divisors (6989644836).

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

3411642060 is a wasteful number, since it uses less digits than its factorization.

3411642060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96423 (or 96418 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3411642060 is about 58409.2634776368. The cubic root of 3411642060 is about 1505.4089255722.

It can be divided in two parts, 34116 and 42060, that added together give a square (76176 = 2762).

The spelling of 3411642060 in words is "three billion, four hundred eleven million, six hundred forty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 5910 7092 8865 11820 17730 35460 96211 192422 288633 384844 481055 577266 865899 962110 1154532 1443165 1731798 1924220 2886330 3463596 4329495 5772660 8658990 17317980 18953567 37907134 56860701 75814268 94767835 113721402 170582103 189535670 227442804 284303505 341164206 379071340 568607010 682328412 852910515 1137214020 1705821030 3411642060