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245326400 = 26521153263
BaseRepresentation
bin11101001111101…
…10001001000000
3122002121212112222
432213312021000
51000300421100
640202110212
76036145214
oct1647661100
9562555488
10245326400
111165313a0
126a1ab368
133ba97367
1424820944
151680e485
hexe9f6240

245326400 has 168 divisors, whose sum is σ = 673510464. Its totient is φ = 87193600.

The previous prime is 245326387. The next prime is 245326427. The reversal of 245326400 is 4623542.

It is a self number, because there is not a number n which added to its sum of digits gives 245326400.

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 23 ways as a sum of consecutive naturals, for example, 932669 + ... + 932931.

Almost surely, 2245326400 is an apocalyptic number.

245326400 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 245326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336755232).

245326400 is an abundant number, since it is smaller than the sum of its proper divisors (428184064).

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

245326400 is a wasteful number, since it uses less digits than its factorization.

245326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 245326400 is about 15662.8988376992. The cubic root of 245326400 is about 626.0102275580.

Adding to 245326400 its reverse (4623542), we get a palindrome (249949942).

The spelling of 245326400 in words is "two hundred forty-five million, three hundred twenty-six thousand, four hundred".