Search a number
-
+
3134405100 = 2235285912163
BaseRepresentation
bin1011101011010011…
…0011100111101100
322002102221021110210
42322310303213230
522404401430400
61235005102420
7140450001201
oct27264634754
98072837423
103134405100
111369320a42
12735857a10
133ac4b3098
1421a3d1ca8
15135292950
hexbad339ec

3134405100 has 72 divisors (see below), whose sum is σ = 9080182720. Its totient is φ = 834799680.

The previous prime is 3134405093. The next prime is 3134405117. The reversal of 3134405100 is 15044313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251619 + ... + 263781.

Almost surely, 23134405100 is an apocalyptic number.

3134405100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134405100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540091360).

3134405100 is an abundant number, since it is smaller than the sum of its proper divisors (5945777620).

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

3134405100 is a wasteful number, since it uses less digits than its factorization.

3134405100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13039 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3134405100 is about 55985.7580104083. The cubic root of 3134405100 is about 1463.4741030420.

Adding to 3134405100 its reverse (15044313), we get a palindrome (3149449413).

The spelling of 3134405100 in words is "three billion, one hundred thirty-four million, four hundred five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 859 1718 2577 3436 4295 5154 8590 10308 12163 12885 17180 21475 24326 25770 36489 42950 48652 51540 60815 64425 72978 85900 121630 128850 145956 182445 243260 257700 304075 364890 608150 729780 912225 1216300 1824450 3648900 10448017 20896034 31344051 41792068 52240085 62688102 104480170 125376204 156720255 208960340 261200425 313440510 522400850 626881020 783601275 1044801700 1567202550 3134405100