Search a number
-
+
1013341340 = 2251143110687
BaseRepresentation
bin111100011001100…
…101110010011100
32121121210001222202
4330121211302130
54033403410330
6244315231032
734053154634
oct7431456234
92547701882
101013341340
11480006390
12243448478
13131c2b87b
14988216c4
155de69445
hex3c665c9c

1013341340 has 48 divisors (see below), whose sum is σ = 2327076864. Its totient is φ = 367598400.

The previous prime is 1013341331. The next prime is 1013341349. The reversal of 1013341340 is 431433101.

It is an interprime number because it is at equal distance from previous prime (1013341331) and next prime (1013341349).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013341349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89477 + ... + 100163.

It is an arithmetic number, because the mean of its divisors is an integer number (48480768).

Almost surely, 21013341340 is an apocalyptic number.

1013341340 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 1013341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163538432).

1013341340 is an abundant number, since it is smaller than the sum of its proper divisors (1313735524).

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

1013341340 is a wasteful number, since it uses less digits than its factorization.

1013341340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11138 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1013341340 is about 31833.0227908064. The cubic root of 1013341340 is about 1004.4274818081.

Adding to 1013341340 its reverse (431433101), we get a palindrome (1444774441).

The spelling of 1013341340 in words is "one billion, thirteen million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 431 862 1724 2155 4310 4741 8620 9482 10687 18964 21374 23705 42748 47410 53435 94820 106870 117557 213740 235114 470228 587785 1175570 2351140 4606097 9212194 18424388 23030485 46060970 50667067 92121940 101334134 202668268 253335335 506670670 1013341340