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3481085088 = 253213929777
BaseRepresentation
bin1100111101111101…
…0010010010100000
322222121021110000100
43033133102102200
524112124210323
61333231422400
7152156510055
oct31737222240
98877243010
103481085088
111526a88828
12811984a00
13436276080
1425047702c
15155922943
hexcf7d24a0

3481085088 has 72 divisors (see below), whose sum is σ = 10660834548. Its totient is φ = 1071101952.

The previous prime is 3481085051. The next prime is 3481085117. The reversal of 3481085088 is 8805801843.

3481085088 is a `hidden beast` number, since 34 + 8 + 108 + 508 + 8 = 666.

3481085088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3416636304 + 64448784 = 58452^2 + 8028^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461145 + ... + 468632.

Almost surely, 23481085088 is an apocalyptic number.

It is an amenable number.

3481085088 is an abundant number, since it is smaller than the sum of its proper divisors (7179749460).

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

3481085088 is a wasteful number, since it uses less digits than its factorization.

3481085088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929806 (or 929795 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 3481085088 is about 59000.7210803393. The cubic root of 3481085088 is about 1515.5544577097.

The spelling of 3481085088 in words is "three billion, four hundred eighty-one million, eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 929777 1859554 2789331 3719108 5578662 7438216 8367993 11157324 12087101 14876432 16735986 22314648 24174202 29752864 33471972 36261303 44629296 48348404 66943944 72522606 89258592 96696808 108783909 133887888 145045212 193393616 217567818 267775776 290090424 386787232 435135636 580180848 870271272 1160361696 1740542544 3481085088