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244399680 = 263557449
BaseRepresentation
bin11101001000100…
…11111001000000
3122000212210100000
432210103321000
51000031242210
640130200000
76025235340
oct1644237100
9560783300
10244399680
11115a59108
1269a23000
133b8315c5
142465cd20
15166c9ac0
hexe913e40

244399680 has 336 divisors, whose sum is σ = 998524800. Its totient is φ = 55738368.

The previous prime is 244399627. The next prime is 244399697. The reversal of 244399680 is 86993442.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544096 + ... + 544544.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 2244399680 is an apocalyptic number.

244399680 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 244399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499262400).

244399680 is an abundant number, since it is smaller than the sum of its proper divisors (754125120).

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

244399680 is an equidigital number, since it uses as much as digits as its factorization.

244399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 244399680 is about 15633.2875621221. The cubic root of 244399680 is about 625.2209821245.

The spelling of 244399680 in words is "two hundred forty-four million, three hundred ninety-nine thousand, six hundred eighty".