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2034134032 = 24759541569
BaseRepresentation
bin111100100111110…
…0110110000010000
312020202120201022111
41321033212300100
513131214242112
6533502315104
7101256565630
oct17117466020
95222521274
102034134032
11954241007
12489288a94
13265568c08
141542226c0
15bd8a65a7
hex793e6c10

2034134032 has 80 divisors (see below), whose sum is σ = 4597027200. Its totient is φ = 853908480.

The previous prime is 2034134029. The next prime is 2034134051. The reversal of 2034134032 is 2304314302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2034133994 and 2034134012.

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, 3574644 + ... + 3575212.

It is an arithmetic number, because the mean of its divisors is an integer number (57462840).

Almost surely, 22034134032 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 2034134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298513600).

2034134032 is an abundant number, since it is smaller than the sum of its proper divisors (2562893168).

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

2034134032 is a wasteful number, since it uses less digits than its factorization.

2034134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2034134032 is about 45101.3750566432. The cubic root of 2034134032 is about 1267.0483526877.

Adding to 2034134032 its reverse (2304314302), we get a palindrome (4338448334).

The spelling of 2034134032 in words is "two billion, thirty-four million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 541 569 826 944 1082 1138 1652 2164 2276 3304 3787 3983 4328 4552 6608 7574 7966 8656 9104 15148 15932 30296 31864 31919 33571 60592 63728 63838 67142 127676 134284 223433 234997 255352 268568 307829 446866 469994 510704 537136 615658 893732 939988 1231316 1787464 1879976 2154803 2462632 3574928 3759952 4309606 4925264 8619212 17238424 18161911 34476848 36323822 72647644 127133377 145295288 254266754 290590576 508533508 1017067016 2034134032