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245344000 = 2853111741
BaseRepresentation
bin11101001111110…
…10011100000000
3122002122202200211
432213322130000
51000302002000
640202323504
76036250426
oct1647723400
9562582624
10245344000
11116543640
126a1b9594
133baa2385
1424827116
15168147ba
hexe9fa700

245344000 has 288 divisors, whose sum is σ = 723183552. Its totient is φ = 81920000.

The previous prime is 245343961. The next prime is 245344009. The reversal of 245344000 is 443542.

It is a happy number.

245344000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245344009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5983980 + ... + 5984020.

It is an arithmetic number, because the mean of its divisors is an integer number (2511054).

Almost surely, 2245344000 is an apocalyptic number.

245344000 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 245344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361591776).

245344000 is an abundant number, since it is smaller than the sum of its proper divisors (477839552).

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

245344000 is a wasteful number, since it uses less digits than its factorization.

245344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 245344000 is about 15663.4606648722. The cubic root of 245344000 is about 626.0251974329.

Adding to 245344000 its reverse (443542), we get a palindrome (245787542).

The spelling of 245344000 in words is "two hundred forty-five million, three hundred forty-four thousand".