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289461340 = 22572067581
BaseRepresentation
bin10001010000001…
…101010001011100
3202011200011022101
4101100031101130
51043100230330
644420054444
710113244420
oct2120152134
9664604271
10289461340
11139436653
1280b34424
1347c7accc
142a62cb80
151a62b4ca
hex1140d45c

289461340 has 24 divisors (see below), whose sum is σ = 694707552. Its totient is φ = 99243840.

The previous prime is 289461317. The next prime is 289461349. The reversal of 289461340 is 43164982.

It is a self number, because there is not a number n which added to its sum of digits gives 289461340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289461349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033651 + ... + 1033930.

It is an arithmetic number, because the mean of its divisors is an integer number (28946148).

Almost surely, 2289461340 is an apocalyptic number.

289461340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289461340 is an abundant number, since it is smaller than the sum of its proper divisors (405246212).

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

289461340 is a wasteful number, since it uses less digits than its factorization.

289461340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067597 (or 2067595 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 289461340 is about 17013.5634127598. The cubic root of 289461340 is about 661.5005192353.

The spelling of 289461340 in words is "two hundred eighty-nine million, four hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 2067581 4135162 8270324 10337905 14473067 20675810 28946134 41351620 57892268 72365335 144730670 289461340