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3481007841 = 3219223371259
BaseRepresentation
bin1100111101111011…
…1111011011100001
322222121010112001100
43033132333123201
524112114222331
61333230025013
7152156035623
oct31736773341
98877115040
103481007841
111526a35793
12811948169
13436249b6c
14250456c13
15155909ae6
hexcf7bf6e1

3481007841 has 72 divisors (see below), whose sum is σ = 5691591360. Its totient is φ = 2044481472.

The previous prime is 3481007833. The next prime is 3481007843. The reversal of 3481007841 is 1487001843.

It is not a de Polignac number, because 3481007841 - 23 = 3481007833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3481007796 and 3481007805.

It is not an unprimeable number, because it can be changed into a prime (3481007843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2764270 + ... + 2765528.

It is an arithmetic number, because the mean of its divisors is an integer number (79049880).

Almost surely, 23481007841 is an apocalyptic number.

It is an amenable number.

3481007841 is a deficient number, since it is larger than the sum of its proper divisors (2210583519).

3481007841 is a wasteful number, since it uses less digits than its factorization.

3481007841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3481007841 is about 59000.0664491151. The cubic root of 3481007841 is about 1515.5432473258.

The spelling of 3481007841 in words is "three billion, four hundred eighty-one million, seven thousand, eight hundred forty-one".

Divisors: 1 3 9 19 23 37 57 69 111 171 207 333 361 437 703 851 1083 1259 1311 2109 2553 3249 3777 3933 6327 7659 8303 11331 13357 16169 23921 24909 28957 40071 46583 48507 71763 74727 86871 120213 139749 145521 215289 260613 307211 419247 454499 550183 885077 921633 1071409 1363497 1650549 2655231 2764899 3214227 4090491 4951647 7965693 9642681 10453477 16816463 20356771 31360431 50449389 61070313 94081293 151348167 183210939 386778649 1160335947 3481007841