Search a number
-
+
3140134104 = 2331922930071
BaseRepresentation
bin1011101100101010…
…1010010011011000
322002211201100012010
42323022222103120
522412333242404
61235331545520
7140546461632
oct27312522330
98084640163
103140134104
111371584258
1273775b2a0
133b073a923
1421b083a52
15135a25189
hexbb2aa4d8

3140134104 has 64 divisors (see below), whose sum is σ = 8299872000. Its totient is φ = 987258240.

The previous prime is 3140134097. The next prime is 3140134147. The reversal of 3140134104 is 4014310413.

3140134104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31401341042 = 19720884382207765632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89389 + ... + 119459.

It is an arithmetic number, because the mean of its divisors is an integer number (129685500).

Almost surely, 23140134104 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 3140134104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149936000).

3140134104 is an abundant number, since it is smaller than the sum of its proper divisors (5159737896).

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

3140134104 is a wasteful number, since it uses less digits than its factorization.

3140134104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30328 (or 30324 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3140134104 is about 56036.8994859637. The cubic root of 3140134104 is about 1464.3651967493.

Adding to 3140134104 its reverse (4014310413), we get a palindrome (7154444517).

The spelling of 3140134104 in words is "three billion, one hundred forty million, one hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 229 456 458 687 916 1374 1832 2748 4351 5496 8702 13053 17404 26106 30071 34808 52212 60142 90213 104424 120284 180426 240568 360852 571349 721704 1142698 1714047 2285396 3428094 4570792 6856188 6886259 13712376 13772518 20658777 27545036 41317554 55090072 82635108 130838921 165270216 261677842 392516763 523355684 785033526 1046711368 1570067052 3140134104