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3413111104 = 261331712941
BaseRepresentation
bin1100101101101111…
…1111000101000000
322210212101000020101
43023123333011000
523442224023404
61322402452144
7150402652144
oct31333770500
98725330211
103413111104
1114a1680987
127b3064054
13425166790
14245421224
1514e9972a4
hexcb6ff140

3413111104 has 56 divisors (see below), whose sum is σ = 7317458568. Its totient is φ = 1570191360.

The previous prime is 3413111069. The next prime is 3413111137. The reversal of 3413111104 is 4011113143.

It can be written as a sum of positive squares in 4 ways, for example, as 11888704 + 3401222400 = 3448^2 + 58320^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257274 + ... + 270214.

It is an arithmetic number, because the mean of its divisors is an integer number (130668903).

Almost surely, 23413111104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658729284).

3413111104 is an abundant number, since it is smaller than the sum of its proper divisors (3904347464).

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

3413111104 is a wasteful number, since it uses less digits than its factorization.

3413111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13283 (or 13273 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 3413111104 is about 58421.8375609669. The cubic root of 3413111104 is about 1505.6249695928.

Adding to 3413111104 its reverse (4011113143), we get a palindrome (7424224247).

The spelling of 3413111104 in words is "three billion, four hundred thirteen million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 317 416 634 832 1268 2536 4121 5072 8242 10144 12941 16484 20288 25882 32968 51764 65936 103528 131872 168233 207056 263744 336466 414112 672932 828224 1345864 2691728 4102297 5383456 8204594 10766912 16409188 32818376 53329861 65636752 106659722 131273504 213319444 262547008 426638888 853277776 1706555552 3413111104