Search a number
-
+
3001655104 = 26731216133
BaseRepresentation
bin1011001011101001…
…1001111101000000
321202012010212201021
42302322121331000
522121410430404
61213503515224
7134245435030
oct26272317500
97665125637
103001655104
1113003a09a8
126b92b8b14
1338ab439a6
142069178c0
151287be454
hexb2e99f40

3001655104 has 56 divisors (see below), whose sum is σ = 7026948608. Its totient is φ = 1244920320.

The previous prime is 3001655101. The next prime is 3001655171. The reversal of 3001655104 is 4015561003.

3001655104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

3001655104 is a modest number, since divided by 55104 gives 30016 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001655101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94179 + ... + 121954.

Almost surely, 23001655104 is an apocalyptic number.

It is an amenable number.

3001655104 is an abundant number, since it is smaller than the sum of its proper divisors (4025293504).

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

3001655104 is a wasteful number, since it uses less digits than its factorization.

3001655104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216183 (or 216173 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 3001655104 is about 54787.3626304461. The cubic root of 3001655104 is about 1442.5147518834.

The spelling of 3001655104 in words is "three billion, one million, six hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 216133 432266 864532 1512931 1729064 3025862 3458128 6051724 6700123 6916256 12103448 13400246 13832512 24206896 26800492 46900861 48413792 53600984 93801722 96827584 107201968 187603444 214403936 375206888 428807872 750413776 1500827552 3001655104