Search a number
-
+
10343141340 = 223571941101313
BaseRepresentation
bin10011010000111111…
…11100111111011100
3222200211110000112220
421220133330333130
5132140321010330
64430201225340
7514212152010
oct115037747734
928624400486
1010343141340
1144284851a4
122007a92250
13c8ab1189c
14701966540
1540808e710
hex2687fcfdc

10343141340 has 384 divisors, whose sum is σ = 36158330880. Its totient is φ = 2156544000.

The previous prime is 10343141329. The next prime is 10343141387. The reversal of 10343141340 is 4314134301.

It is a self number, because there is not a number n which added to its sum of digits gives 10343141340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33045024 + ... + 33045336.

It is an arithmetic number, because the mean of its divisors is an integer number (94162320).

Almost surely, 210343141340 is an apocalyptic number.

10343141340 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 10343141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079165440).

10343141340 is an abundant number, since it is smaller than the sum of its proper divisors (25815189540).

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

10343141340 is a wasteful number, since it uses less digits than its factorization.

10343141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10343141340 its reverse (4314134301), we get a palindrome (14657275641).

The spelling of 10343141340 in words is "ten billion, three hundred forty-three million, one hundred forty-one thousand, three hundred forty".