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3416481090 = 2325113450991
BaseRepresentation
bin1100101110100011…
…0101110101000010
322211002201012222200
43023220311311002
523444104343330
61323003014030
7150443416161
oct31350656502
98732635880
103416481090
1114a35728a0
127b420a316
13425a76659
14245a5b3d8
1514ee10a60
hexcba35d42

3416481090 has 48 divisors (see below), whose sum is σ = 9690385536. Its totient is φ = 828237600.

The previous prime is 3416481083. The next prime is 3416481091. The reversal of 3416481090 is 901846143.

3416481090 is a `hidden beast` number, since 3 + 4 + 1 + 648 + 1 + 0 + 9 + 0 = 666.

3416481090 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 not an unprimeable number, because it can be changed into a prime (3416481091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1724506 + ... + 1726485.

It is an arithmetic number, because the mean of its divisors is an integer number (201883032).

Almost surely, 23416481090 is an apocalyptic number.

3416481090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3416481090 is an abundant number, since it is smaller than the sum of its proper divisors (6273904446).

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

3416481090 is a wasteful number, since it uses less digits than its factorization.

3416481090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451015 (or 3451012 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3416481090 is about 58450.6722801372. The cubic root of 3416481090 is about 1506.1203403252.

The spelling of 3416481090 in words is "three billion, four hundred sixteen million, four hundred eighty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 3450991 6901982 10352973 17254955 20705946 31058919 34509910 37960901 51764865 62117838 75921802 103529730 113882703 155294595 189804505 227765406 310589190 341648109 379609010 569413515 683296218 1138827030 1708240545 3416481090