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244078240 = 2557383569
BaseRepresentation
bin11101000110001…
…01011010100000
3122000021110101211
432203011122200
5444441000430
640115235504
76022426240
oct1643053240
9560243354
10244078240
1111585965a
12698a8b94
133b74b1c3
14245b7b20
151666472a
hexe8c56a0

244078240 has 96 divisors (see below), whose sum is σ = 661893120. Its totient is φ = 83318784.

The previous prime is 244078229. The next prime is 244078249. The reversal of 244078240 is 42870442.

It is not an unprimeable number, because it can be changed into a prime (244078249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428676 + ... + 429244.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2244078240 is an apocalyptic number.

244078240 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 244078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

244078240 is an abundant number, since it is smaller than the sum of its proper divisors (417814880).

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

244078240 is a wasteful number, since it uses less digits than its factorization.

244078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 244078240 is about 15623.0035524543. The cubic root of 244078240 is about 624.9467602650.

The spelling of 244078240 in words is "two hundred forty-four million, seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 383 560 569 766 1120 1138 1532 1915 2276 2681 2845 3064 3830 3983 4552 5362 5690 6128 7660 7966 9104 10724 11380 12256 13405 15320 15932 18208 19915 21448 22760 26810 30640 31864 39830 42896 45520 53620 61280 63728 79660 85792 91040 107240 127456 159320 214480 217927 318640 428960 435854 637280 871708 1089635 1525489 1743416 2179270 3050978 3486832 4358540 6101956 6973664 7627445 8717080 12203912 15254890 17434160 24407824 30509780 34868320 48815648 61019560 122039120 244078240