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289944684 = 2235317941
BaseRepresentation
bin10001010010000…
…011010001101100
3202012120201100000
4101102003101230
51043211212214
644434304300
710120326531
oct2122032154
9665521300
10289944684
11139736807
1281128090
13480ba003
142a716d88
151a6c4809
hex1148346c

289944684 has 72 divisors (see below), whose sum is σ = 763268688. Its totient is φ = 96240960.

The previous prime is 289944671. The next prime is 289944701. The reversal of 289944684 is 486449982.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 289944684.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 307654 + ... + 308594.

It is an arithmetic number, because the mean of its divisors is an integer number (10600954).

Almost surely, 2289944684 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 289944684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381634344).

289944684 is an abundant number, since it is smaller than the sum of its proper divisors (473324004).

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

289944684 is a wasteful number, since it uses less digits than its factorization.

289944684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1263 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 289944684 is about 17027.7621547871. The cubic root of 289944684 is about 661.8685067857.

The spelling of 289944684 in words is "two hundred eighty-nine million, nine hundred forty-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 317 324 486 634 941 951 972 1268 1882 1902 2823 2853 3764 3804 5646 5706 8469 8559 11292 11412 16938 17118 25407 25677 33876 34236 50814 51354 76221 77031 101628 102708 152442 154062 228663 298297 304884 308124 457326 596594 894891 914652 1193188 1789782 2684673 3579564 5369346 8054019 10738692 16108038 24162057 32216076 48324114 72486171 96648228 144972342 289944684