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1340410401 = 3211611731283
BaseRepresentation
bin100111111100101…
…0000101000100001
310110102012220101200
41033321100220201
510221121113101
6341001351413
745134205021
oct11771205041
93412186350
101340410401
116286991a0
12314a98569
13184916565
14ca03da81
157ca23986
hex4fe50a21

1340410401 has 48 divisors (see below), whose sum is σ = 2160879552. Its totient is φ = 793814400.

The previous prime is 1340410397. The next prime is 1340410411. The reversal of 1340410401 is 1040140431.

It is not a de Polignac number, because 1340410401 - 22 = 1340410397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1340410411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044106 + ... + 1045388.

It is an arithmetic number, because the mean of its divisors is an integer number (45018324).

Almost surely, 21340410401 is an apocalyptic number.

1340410401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1340410401 is a deficient number, since it is larger than the sum of its proper divisors (820469151).

1340410401 is a wasteful number, since it uses less digits than its factorization.

1340410401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1340410401 is about 36611.6156567830. The cubic root of 1340410401 is about 1102.5863112893.

Adding to 1340410401 its reverse (1040140431), we get a palindrome (2380550832).

The spelling of 1340410401 in words is "one billion, three hundred forty million, four hundred ten thousand, four hundred one".

Divisors: 1 3 9 11 33 61 99 173 183 519 549 671 1283 1557 1903 2013 3849 5709 6039 10553 11547 14113 17127 31659 42339 78263 94977 116083 127017 221959 234789 348249 665877 704367 860893 1044747 1997631 2441549 2582679 7324647 7748037 13539499 21973941 40618497 121855491 148934489 446803467 1340410401