Search a number
-
+
2134634544 = 2432717312241
BaseRepresentation
bin111111100111011…
…1111000000110000
312111202200200002200
41333032333000300
513332431301134
6551452343200
7103620044220
oct17716770060
95452620080
102134634544
119a5a44589
124b6a74b00
13280326483
14163704080
15c7609499
hex7f3bf030

2134634544 has 120 divisors (see below), whose sum is σ = 6867468192. Its totient is φ = 606320640.

The previous prime is 2134634501. The next prime is 2134634561. The reversal of 2134634544 is 4454364312.

2134634544 is a `hidden beast` number, since 2 + 13 + 4 + 634 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2134634499 and 2134634508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168264 + ... + 180504.

Almost surely, 22134634544 is an apocalyptic number.

2134634544 is a gapful number since it is divisible by the number (24) 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 2134634544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433734096).

2134634544 is an abundant number, since it is smaller than the sum of its proper divisors (4732833648).

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

2134634544 is a wasteful number, since it uses less digits than its factorization.

2134634544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12435 (or 12426 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 2134634544 is about 46202.1054065721. The cubic root of 2134634544 is about 1287.5808565049.

Adding to 2134634544 its reverse (4454364312), we get a palindrome (6588998856).

The spelling of 2134634544 in words is "two billion, one hundred thirty-four million, six hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 173 252 336 346 504 519 692 1008 1038 1211 1384 1557 2076 2422 2768 3114 3633 4152 4844 6228 7266 8304 9688 10899 12241 12456 14532 19376 21798 24482 24912 29064 36723 43596 48964 58128 73446 85687 87192 97928 110169 146892 171374 174384 195856 220338 257061 293784 342748 440676 514122 587568 685496 771183 881352 1028244 1370992 1542366 1762704 2056488 2117693 3084732 4112976 4235386 6169464 6353079 8470772 12338928 12706158 14823851 16941544 19059237 25412316 29647702 33883088 38118474 44471553 50824632 59295404 76236948 88943106 101649264 118590808 133414659 152473896 177886212 237181616 266829318 304947792 355772424 533658636 711544848 1067317272 2134634544