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289244340 = 2232571141509
BaseRepresentation
bin10001001111011…
…000010010110100
3202011021010122100
4101033120102310
51043021304330
644411302100
710111351650
oct2117302264
9664233570
10289244340
111392a8610
1280a4a930
1347c032c8
142a5b3a60
151a5d7060
hex113d84b4

289244340 has 288 divisors, whose sum is σ = 1122750720. Its totient is φ = 58521600.

The previous prime is 289244327. The next prime is 289244363. The reversal of 289244340 is 43442982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 289244295 and 289244304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 568006 + ... + 568514.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 2289244340 is an apocalyptic number.

289244340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561375360).

289244340 is an abundant number, since it is smaller than the sum of its proper divisors (833506380).

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

289244340 is a wasteful number, since it uses less digits than its factorization.

289244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 289244340 is about 17007.1849522489. The cubic root of 289244340 is about 661.3351759139.

The spelling of 289244340 in words is "two hundred eighty-nine million, two hundred forty-four thousand, three hundred forty".