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244730640 = 2435711171941
BaseRepresentation
bin11101001011001…
…00101100010000
3122001111121022210
432211210230100
51000122340030
640141232120
76031114260
oct1645445420
9561447283
10244730640
11116164830
1269b62640
133b91913b
14247077a0
1516742bb0
hexe964b10

244730640 has 640 divisors, whose sum is σ = 1079930880. Its totient is φ = 44236800.

The previous prime is 244730639. The next prime is 244730641. The reversal of 244730640 is 46037442.

It is an interprime number because it is at equal distance from previous prime (244730639) and next prime (244730641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 244730598 and 244730607.

It is not an unprimeable number, because it can be changed into a prime (244730641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5969020 + ... + 5969060.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2244730640 is an apocalyptic number.

244730640 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 244730640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

244730640 is an abundant number, since it is smaller than the sum of its proper divisors (835200240).

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

244730640 is a wasteful number, since it uses less digits than its factorization.

244730640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 244730640 is about 15643.8690866422. The cubic root of 244730640 is about 625.5030744238.

The spelling of 244730640 in words is "two hundred forty-four million, seven hundred thirty thousand, six hundred forty".