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9801834 = 2371971173
BaseRepresentation
bin100101011001…
…000001101010
3200102222120220
4211121001222
510002124314
6550030510
7146212530
oct45310152
920388526
109801834
115595299
123348436
132052603
141432150
15cd93a9
hex95906a

9801834 has 64 divisors (see below), whose sum is σ = 24053760. Its totient is φ = 2600640.

The previous prime is 9801817. The next prime is 9801839. The reversal of 9801834 is 4381089.

It is a junction number, because it is equal to n+sod(n) for n = 9801795 and 9801804.

It is not an unprimeable number, because it can be changed into a prime (9801839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56572 + ... + 56744.

It is an arithmetic number, because the mean of its divisors is an integer number (375840).

Almost surely, 29801834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9801834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026880).

9801834 is an abundant number, since it is smaller than the sum of its proper divisors (14251926).

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

9801834 is a wasteful number, since it uses less digits than its factorization.

9801834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 9801834 is about 3130.7880797013. The cubic root of 9801834 is about 214.0108446480.

The spelling of 9801834 in words is "nine million, eight hundred one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 71 114 133 142 173 213 266 346 399 426 497 519 798 994 1038 1211 1349 1491 2422 2698 2982 3287 3633 4047 6574 7266 8094 9443 9861 12283 18886 19722 23009 24566 28329 36849 46018 56658 69027 73698 85981 138054 171962 233377 257943 466754 515886 700131 1400262 1633639 3267278 4900917 9801834