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13434268380 = 22351346137361
BaseRepresentation
bin11001000001011111…
…01010101011011100
31021200020221112200120
430200233222223130
5210003133042010
610101022554540
7653625253131
oct144057525334
937606845616
1013434268380
115774326745
12272b138a50
131361351040
149162d0588
15539633e70
hex320beaadc

13434268380 has 96 divisors (see below), whose sum is σ = 40598445888. Its totient is φ = 3299635200.

The previous prime is 13434268369. The next prime is 13434268387. The reversal of 13434268380 is 8386243431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434268387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340900 + ... + 378260.

It is an arithmetic number, because the mean of its divisors is an integer number (422900478).

Almost surely, 213434268380 is an apocalyptic number.

13434268380 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 13434268380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20299222944).

13434268380 is an abundant number, since it is smaller than the sum of its proper divisors (27164177508).

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

13434268380 is a wasteful number, since it uses less digits than its factorization.

13434268380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37847 (or 37845 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 13434268380 in words is "thirteen billion, four hundred thirty-four million, two hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 461 780 922 1383 1844 2305 2766 4610 5532 5993 6915 9220 11986 13830 17979 23972 27660 29965 35958 37361 59930 71916 74722 89895 112083 119860 149444 179790 186805 224166 359580 373610 448332 485693 560415 747220 971386 1120830 1457079 1942772 2241660 2428465 2914158 4856930 5828316 7285395 9713860 14570790 17223421 29141580 34446842 51670263 68893684 86117105 103340526 172234210 206681052 223904473 258351315 344468420 447808946 516702630 671713419 895617892 1033405260 1119522365 1343426838 2239044730 2686853676 3358567095 4478089460 6717134190 13434268380