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96983334 = 232717192383
BaseRepresentation
bin1011100011111…
…01100100100110
320202111021010100
411301331210212
5144311431314
613342404530
72255226150
oct561754446
9222437110
1096983334
114a821018
1228590746
13171286b6
14cc47ad0
1587aac09
hex5c7d926

96983334 has 96 divisors (see below), whose sum is σ = 267770880. Its totient is φ = 24696576.

The previous prime is 96983311. The next prime is 96983339. The reversal of 96983334 is 43338969.

It is a self number, because there is not a number n which added to its sum of digits gives 96983334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96983339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39507 + ... + 41889.

It is an arithmetic number, because the mean of its divisors is an integer number (2789280).

Almost surely, 296983334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96983334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133885440).

96983334 is an abundant number, since it is smaller than the sum of its proper divisors (170787546).

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

96983334 is a wasteful number, since it uses less digits than its factorization.

96983334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2431 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 96983334 is about 9848.0116774910. The cubic root of 96983334 is about 459.4437731825.

The spelling of 96983334 in words is "ninety-six million, nine hundred eighty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 399 646 714 798 969 1071 1197 1938 2142 2261 2383 2394 2907 4522 4766 5814 6783 7149 13566 14298 16681 20349 21447 33362 40511 40698 42894 45277 50043 81022 90554 100086 121533 135831 150129 243066 271662 283577 300258 316939 364599 407493 567154 633878 729198 769709 814986 850731 950817 1539418 1701462 1901634 2309127 2552193 2852451 4618254 5104386 5387963 5704902 6927381 10775926 13854762 16163889 32327778 48491667 96983334