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1000342431 = 321125739317
BaseRepresentation
bin111011101000000…
…000001110011111
32120201022122211200
4323220000032133
54022041424211
6243132450543
733534525144
oct7350001637
92521278750
101000342431
11473738090
1223b019a53
1312c329cca
1496bda3cb
155cc4cb56
hex3ba0039f

1000342431 has 24 divisors (see below), whose sum is σ = 1582470864. Its totient is φ = 603893760.

The previous prime is 1000342429. The next prime is 1000342439. The reversal of 1000342431 is 1342430001.

1000342431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000342431 - 21 = 1000342429 is a prime.

It is a super-2 number, since 2×10003424312 = 2001369958517979522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000342439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5785 + ... + 45101.

It is an arithmetic number, because the mean of its divisors is an integer number (65936286).

Almost surely, 21000342431 is an apocalyptic number.

1000342431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000342431 is a deficient number, since it is larger than the sum of its proper divisors (582128433).

1000342431 is a wasteful number, since it uses less digits than its factorization.

1000342431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39591 (or 39588 counting only the distinct ones).

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

The square root of 1000342431 is about 31628.1904477635. The cubic root of 1000342431 is about 1000.1141306404.

Adding to 1000342431 its reverse (1342430001), we get a palindrome (2342772432).

The spelling of 1000342431 in words is "one billion, three hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 257 771 2313 2827 8481 25443 39317 117951 353853 432487 1297461 3892383 10104469 30313407 90940221 111149159 333447477 1000342431