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1343402010 = 234510116421
BaseRepresentation
bin101000000010010…
…1011000000011010
310110121211220010000
41100010223000122
510222402331020
6341145433430
745201504636
oct12004530032
93417756100
101343402010
1162a3518a5
12315a9b876
13185423142
14ca5bbdc6
157ce15090
hex5012b01a

1343402010 has 80 divisors (see below), whose sum is σ = 3648245832. Its totient is φ = 354672000.

The previous prime is 1343401979. The next prime is 1343402017. The reversal of 1343402010 is 102043431.

It can be written as a sum of positive squares in 4 ways, for example, as 1019077929 + 324324081 = 31923^2 + 18009^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1343402017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73600 + ... + 90020.

Almost surely, 21343402010 is an apocalyptic number.

1343402010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343402010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824122916).

1343402010 is an abundant number, since it is smaller than the sum of its proper divisors (2304843822).

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

1343402010 is a wasteful number, since it uses less digits than its factorization.

1343402010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16541 (or 16532 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1343402010 is about 36652.4488949920. The cubic root of 1343402010 is about 1103.4059747376.

Adding to 1343402010 its reverse (102043431), we get a palindrome (1445445441).

The spelling of 1343402010 in words is "one billion, three hundred forty-three million, four hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 270 303 405 505 606 810 909 1010 1515 1818 2727 3030 4545 5454 8181 9090 13635 16362 16421 27270 32842 40905 49263 81810 82105 98526 147789 164210 246315 295578 443367 492630 738945 886734 1330101 1477890 1658521 2216835 2660202 3317042 4433670 4975563 6650505 8292605 9951126 13301010 14926689 16585210 24877815 29853378 44780067 49755630 74633445 89560134 134340201 149266890 223900335 268680402 447800670 671701005 1343402010