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289943940 = 2235111347719
BaseRepresentation
bin10001010010000…
…011000110000100
3202012120200022110
4101102003012010
51043211201230
644434301020
710120324416
oct2122030604
9665520273
10289943940
111397361a0
1281127770
13480b9880
142a7169b6
151a6c44b0
hex11483184

289943940 has 192 divisors, whose sum is σ = 975421440. Its totient is φ = 63413760.

The previous prime is 289943939. The next prime is 289943947. The reversal of 289943940 is 49349982.

It is a self number, because there is not a number n which added to its sum of digits gives 289943940.

It is not an unprimeable number, because it can be changed into a prime (289943947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402901 + ... + 403619.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2289943940 is an apocalyptic number.

289943940 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 289943940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

289943940 is an abundant number, since it is smaller than the sum of its proper divisors (685477500).

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

289943940 is a wasteful number, since it uses less digits than its factorization.

289943940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 289943940 is about 17027.7403080973. The cubic root of 289943940 is about 661.8679406656.

The spelling of 289943940 in words is "two hundred eighty-nine million, nine hundred forty-three thousand, nine hundred forty".