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245340900 = 22345274327
BaseRepresentation
bin11101001111110…
…01101011100100
3122002122121110000
432213321223210
51000301402100
640202301300
76036235410
oct1647715344
9562577400
10245340900
11116541282
126a1b7830
133baa0b3c
1424825d40
1516813900
hexe9f9ae4

245340900 has 180 divisors, whose sum is σ = 909122368. Its totient is φ = 56064960.

The previous prime is 245340881. The next prime is 245340911. The reversal of 245340900 is 9043542.

245340900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 54537 + ... + 58863.

Almost surely, 2245340900 is an apocalyptic number.

245340900 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 245340900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454561184).

245340900 is an abundant number, since it is smaller than the sum of its proper divisors (663781468).

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

245340900 is a wasteful number, since it uses less digits than its factorization.

245340900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 245340900 is about 15663.3617081392. The cubic root of 245340900 is about 626.0225607455.

The spelling of 245340900 in words is "two hundred forty-five million, three hundred forty thousand, nine hundred".