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1002434104 = 237173133967
BaseRepresentation
bin111011101111111…
…110111000111000
32120212020221002001
4323233332320320
54023110342404
6243245350344
733561356260
oct7357767070
92525227061
101002434104
11474936641
1223b8683b4
1312c8b0099
14971c27a0
155d0127a4
hex3bbfee38

1002434104 has 64 divisors (see below), whose sum is σ = 2347868160. Its totient is φ = 391288320.

The previous prime is 1002434071. The next prime is 1002434107. The reversal of 1002434104 is 4014342001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002434107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12529 + ... + 46495.

It is an arithmetic number, because the mean of its divisors is an integer number (36685440).

Almost surely, 21002434104 is an apocalyptic number.

1002434104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002434104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173934080).

1002434104 is an abundant number, since it is smaller than the sum of its proper divisors (1345434056).

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

1002434104 is a wasteful number, since it uses less digits than its factorization.

1002434104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34028 (or 34024 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1002434104 is about 31661.2397735780. The cubic root of 1002434104 is about 1000.8107105708.

Adding to 1002434104 its reverse (4014342001), we get a palindrome (5016776105).

The spelling of 1002434104 in words is "one billion, two million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 217 238 248 434 476 527 868 952 1054 1736 2108 3689 4216 7378 14756 29512 33967 67934 135868 237769 271736 475538 577439 951076 1052977 1154878 1902152 2105954 2309756 4042073 4211908 4619512 7370839 8084146 8423816 14741678 16168292 17900609 29483356 32336584 35801218 58966712 71602436 125304263 143204872 250608526 501217052 1002434104