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245200344 = 23310795483
BaseRepresentation
bin11101001110101…
…11010111011000
3122002101110122020
432213113113120
51000232402334
640155254440
76035111544
oct1647272730
9562343566
10245200344
11116455714
126a14a420
133ba51b7c
14247caa24
15167d6e49
hexe9d75d8

245200344 has 32 divisors (see below), whose sum is σ = 618736320. Its totient is φ = 80968736.

The previous prime is 245200327. The next prime is 245200349. The reversal of 245200344 is 443002542.

245200344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245200349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45174 + ... + 50309.

It is an arithmetic number, because the mean of its divisors is an integer number (19335510).

Almost surely, 2245200344 is an apocalyptic number.

245200344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245200344 is an abundant number, since it is smaller than the sum of its proper divisors (373535976).

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

245200344 is a wasteful number, since it uses less digits than its factorization.

245200344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95599 (or 95595 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 245200344 is about 15658.8742890413. The cubic root of 245200344 is about 625.9029882978.

Adding to 245200344 its reverse (443002542), we get a palindrome (688202886).

The spelling of 245200344 in words is "two hundred forty-five million, two hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 2568 95483 190966 286449 381932 572898 763864 1145796 2291592 10216681 20433362 30650043 40866724 61300086 81733448 122600172 245200344