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2034103032 = 2332138212647
BaseRepresentation
bin111100100111101…
…1111001011111000
312020202112010210100
41321033133023320
513131212244112
6533501515400
7101256406353
oct17117371370
95222463710
102034103032
1195421a795
12489272b60
13265557a80
1415421529a
15bd89c2dc
hex793df2f8

2034103032 has 96 divisors (see below), whose sum is σ = 5942270880. Its totient is φ = 624879360.

The previous prime is 2034103021. The next prime is 2034103067. The reversal of 2034103032 is 2303014302.

2034103032 is a `hidden beast` number, since 20 + 341 + 0 + 303 + 2 = 666.

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 = 2034102996 and 2034103014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767133 + ... + 769779.

It is an arithmetic number, because the mean of its divisors is an integer number (61898655).

Almost surely, 22034103032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971135440).

2034103032 is an abundant number, since it is smaller than the sum of its proper divisors (3908167848).

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

2034103032 is a wasteful number, since it uses less digits than its factorization.

2034103032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2034103032 is about 45101.0313851025. The cubic root of 2034103032 is about 1267.0419160915.

Adding to 2034103032 its reverse (2303014302), we get a palindrome (4337117334).

The spelling of 2034103032 in words is "two billion, thirty-four million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 821 936 1642 2463 2647 3284 4926 5294 6568 7389 7941 9852 10588 10673 14778 15882 19704 21176 21346 23823 29556 31764 32019 34411 42692 47646 59112 63528 64038 68822 85384 95292 96057 103233 128076 137644 190584 192114 206466 256152 275288 309699 384228 412932 619398 768456 825864 1238796 2173187 2477592 4346374 6519561 8692748 13039122 17385496 19558683 26078244 28251431 39117366 52156488 56502862 78234732 84754293 113005724 156469464 169508586 226011448 254262879 339017172 508525758 678034344 1017051516 2034103032