Search a number
-
+
13434333240 = 233525121777
BaseRepresentation
bin11001000001011111…
…11010100000111000
31021200021001211122210
430200233322200320
5210003142130430
610101024215120
7653625643206
oct144057724070
937607054583
1013434333240
115774370449
12272b16a4a0
131361374713
1491630a076
155396482b0
hex320bfa838

13434333240 has 96 divisors (see below), whose sum is σ = 40486980240. Its totient is φ = 3566208000.

The previous prime is 13434333221. The next prime is 13434333307. The reversal of 13434333240 is 4233343431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13434333198 and 13434333207.

It is a congruent number.

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, 7559232 + ... + 7561008.

Almost surely, 213434333240 is an apocalyptic number.

13434333240 is a gapful number since it is divisible by the number (10) 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 13434333240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20243490120).

13434333240 is an abundant number, since it is smaller than the sum of its proper divisors (27052647000).

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

13434333240 is a wasteful number, since it uses less digits than its factorization.

13434333240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 13434333240 its reverse (4233343431), we get a palindrome (17667676671).

The spelling of 13434333240 in words is "thirteen billion, four hundred thirty-four million, three hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 502 753 1004 1255 1506 1777 2008 2510 3012 3554 3765 5020 5331 6024 7108 7530 8885 10040 10662 14216 15060 17770 21324 26655 30120 35540 42648 53310 63001 71080 106620 126002 189003 213240 252004 315005 378006 446027 504008 630010 756012 892054 945015 1260020 1338081 1512024 1784108 1890030 2230135 2520040 2676162 3568216 3780060 4460270 5352324 6690405 7560120 8920540 10704648 13380810 17841080 26761620 53523240 111952777 223905554 335858331 447811108 559763885 671716662 895622216 1119527770 1343433324 1679291655 2239055540 2686866648 3358583310 4478111080 6717166620 13434333240