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289410640 = 2454384131
BaseRepresentation
bin10001010000000…
…000111001010000
3202011120120202121
4101100000321100
51043042120030
644415024024
710112643541
oct2120007120
9664516677
10289410640
11139401552
1280b0b014
1347c60bcc
142a6184c8
151a61b47a
hex11400e50

289410640 has 40 divisors (see below), whose sum is σ = 688536288. Its totient is φ = 113070720.

The previous prime is 289410629. The next prime is 289410643. The reversal of 289410640 is 46014982.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 289410596 and 289410605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289410643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38626 + ... + 45505.

Almost surely, 2289410640 is an apocalyptic number.

289410640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289410640 is an abundant number, since it is smaller than the sum of its proper divisors (399125648).

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

289410640 is a wasteful number, since it uses less digits than its factorization.

289410640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84187 (or 84181 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 289410640 is about 17012.0733598230. The cubic root of 289410640 is about 661.4618957302.

The spelling of 289410640 in words is "two hundred eighty-nine million, four hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 84131 168262 336524 420655 673048 841310 1346096 1682620 3365240 3617633 6730480 7235266 14470532 18088165 28941064 36176330 57882128 72352660 144705320 289410640