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1034332431 = 311194735099
BaseRepresentation
bin111101101001101…
…010100100001111
32200002021112100120
4331221222210033
54104242114211
6250345200023
734426452306
oct7551524417
92602245316
101034332431
114909432a0
1224a490013
1313639b132
149b52743d
1560c13d06
hex3da6a90f

1034332431 has 32 divisors (see below), whose sum is σ = 1617408000. Its totient is φ = 581222880.

The previous prime is 1034332319. The next prime is 1034332433. The reversal of 1034332431 is 1342334301.

It is not a de Polignac number, because 1034332431 - 210 = 1034331407 is a prime.

It is a super-2 number, since 2×10343324312 = 2139687155636739522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034332433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11920 + ... + 47018.

It is an arithmetic number, because the mean of its divisors is an integer number (50544000).

Almost surely, 21034332431 is an apocalyptic number.

1034332431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1034332431 is a deficient number, since it is larger than the sum of its proper divisors (583075569).

1034332431 is a wasteful number, since it uses less digits than its factorization.

1034332431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35179.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1034332431 is about 32161.0390223948. The cubic root of 1034332431 is about 1011.3156175045.

Adding to 1034332431 its reverse (1342334301), we get a palindrome (2376666732).

The spelling of 1034332431 in words is "one billion, thirty-four million, three hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 11 19 33 47 57 141 209 517 627 893 1551 2679 9823 29469 35099 105297 386089 666881 1158267 1649653 2000643 4948959 7335691 18146183 22007073 31343407 54438549 94030221 344777477 1034332431