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1340000431 = 711531013251
BaseRepresentation
bin100111111011110…
…1100100010101111
310110101110002000121
41033313230202233
510221020003211
6340544505411
745130546540
oct11767544257
93411402017
101340000431
11628439180
1231491b267
13184801a83
14c9d744c7
157c992271
hex4fdec8af

1340000431 has 32 divisors (see below), whose sum is σ = 1719553536. Its totient is φ = 1014000000.

The previous prime is 1340000429. The next prime is 1340000461.

1340000431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1340000431 - 21 = 1340000429 is a prime.

It is a super-2 number, since 2×13400004312 = 3591202310160371522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340000411) 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, 410556 + ... + 413806.

It is an arithmetic number, because the mean of its divisors is an integer number (53736048).

Almost surely, 21340000431 is an apocalyptic number.

1340000431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1340000431 is a deficient number, since it is larger than the sum of its proper divisors (379553105).

1340000431 is a wasteful number, since it uses less digits than its factorization.

1340000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1340000431 is about 36606.0163224572. The cubic root of 1340000431 is about 1102.4738896503.

It can be divided in two parts, 1340000 and 431, that added together give a palindrome (1340431).

The spelling of 1340000431 in words is "one billion, three hundred forty million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 11 53 77 101 371 583 707 1111 3251 4081 5353 7777 22757 35761 37471 58883 172303 250327 328351 412181 1206121 1895333 2298457 3611861 13267331 17402603 25283027 121818221 191428633 1340000431