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3416058192 = 2431274991123
BaseRepresentation
bin1100101110011100…
…1110100101010000
322211001220201212210
43023213032211100
523444002330232
61322545552120
7150440005221
oct31347164520
98731821783
103416058192
1114a3304098
127b4045640
13425959011
1424598b248
1514ed7a5cc
hexcb9ce950

3416058192 has 80 divisors (see below), whose sum is σ = 8920064000. Its totient is φ = 1126452096.

The previous prime is 3416058083. The next prime is 3416058193. The reversal of 3416058192 is 2918506143.

3416058192 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 2×34160581922 = 23338907142260617728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3416058192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416058193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3041343 + ... + 3042465.

It is an arithmetic number, because the mean of its divisors is an integer number (111500800).

Almost surely, 23416058192 is an apocalyptic number.

It is an amenable number.

3416058192 is an abundant number, since it is smaller than the sum of its proper divisors (5504005808).

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

3416058192 is a wasteful number, since it uses less digits than its factorization.

3416058192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 3416058192 is about 58447.0546050013. The cubic root of 3416058192 is about 1506.0581943584.

The spelling of 3416058192 in words is "three billion, four hundred sixteen million, fifty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 499 508 762 998 1016 1123 1497 1524 1996 2032 2246 2994 3048 3369 3992 4492 5988 6096 6738 7984 8984 11976 13476 17968 23952 26952 53904 63373 126746 142621 190119 253492 285242 380238 427863 506984 560377 570484 760476 855726 1013968 1120754 1140968 1520952 1681131 1711452 2241508 2281936 3041904 3362262 3422904 4483016 6724524 6845808 8966032 13449048 26898096 71167879 142335758 213503637 284671516 427007274 569343032 854014548 1138686064 1708029096 3416058192