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1014034032 = 243311213391
BaseRepresentation
bin111100011100001…
…110111001110000
32121200002021012000
4330130032321300
54034043042112
6244342134000
734062101304
oct7434167160
92550067160
101014034032
11480439860
12243721300
13132111c4b
1498961d04
155e0547dc
hex3c70ee70

1014034032 has 80 divisors (see below), whose sum is σ = 3175272960. Its totient is φ = 307281600.

The previous prime is 1014034027. The next prime is 1014034061. The reversal of 1014034032 is 2304304101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1014033996 and 1014034014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101944 + ... + 111447.

It is an arithmetic number, because the mean of its divisors is an integer number (39690912).

Almost surely, 21014034032 is an apocalyptic number.

1014034032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1014034032 is an abundant number, since it is smaller than the sum of its proper divisors (2161238928).

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

1014034032 is a wasteful number, since it uses less digits than its factorization.

1014034032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213419 (or 213407 counting only the distinct ones).

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

The square root of 1014034032 is about 31843.9010173063. The cubic root of 1014034032 is about 1004.6562959237.

Adding to 1014034032 its reverse (2304304101), we get a palindrome (3318338133).

The spelling of 1014034032 in words is "one billion, fourteen million, thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 213391 426782 640173 853564 1280346 1707128 1920519 2347301 2560692 3414256 3841038 4694602 5121384 5761557 7041903 7682076 9389204 10242768 11523114 14083806 15364152 18778408 21125709 23046228 28167612 30728304 37556816 42251418 46092456 56335224 63377127 84502836 92184912 112670448 126754254 169005672 253508508 338011344 507017016 1014034032