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244490400 = 2534527311
BaseRepresentation
bin11101001001010…
…10000010100000
3122001001101210000
432210222002200
51000042143100
640132140000
76026064000
oct1644520240
9561041700
10244490400
11116010290
1269a67600
133b86399b
1424684000
15166e6900
hexe92a0a0

244490400 has 720 divisors, whose sum is σ = 1134302400. Its totient is φ = 50803200.

The previous prime is 244490369. The next prime is 244490401. The reversal of 244490400 is 4094442.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244490401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22226395 + ... + 22226405.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 2244490400 is an apocalyptic number.

244490400 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 244490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567151200).

244490400 is an abundant number, since it is smaller than the sum of its proper divisors (889812000).

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

244490400 is a wasteful number, since it uses less digits than its factorization.

244490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 244490400 is about 15636.1887939485. The cubic root of 244490400 is about 625.2983322406.

The spelling of 244490400 in words is "two hundred forty-four million, four hundred ninety thousand, four hundred".