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244041320 = 235191073001
BaseRepresentation
bin11101000101111…
…00011001101000
3122000012120202102
432202330121220
5444433310240
640114352532
76022213505
oct1642743150
9560176672
10244041320
11115833946
126988b748
133b737463
14245a84ac
1516658815
hexe8bc668

244041320 has 64 divisors (see below), whose sum is σ = 583588800. Its totient is φ = 91584000.

The previous prime is 244041311. The next prime is 244041367. The reversal of 244041320 is 23140442.

244041320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 244041292 and 244041301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79820 + ... + 82820.

It is an arithmetic number, because the mean of its divisors is an integer number (9118575).

Almost surely, 2244041320 is an apocalyptic number.

244041320 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 244041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291794400).

244041320 is an abundant number, since it is smaller than the sum of its proper divisors (339547480).

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

244041320 is a wasteful number, since it uses less digits than its factorization.

244041320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 244041320 is about 15621.8219167932. The cubic root of 244041320 is about 624.9152482413.

Adding to 244041320 its reverse (23140442), we get a palindrome (267181762).

The spelling of 244041320 in words is "two hundred forty-four million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 107 152 190 214 380 428 535 760 856 1070 2033 2140 3001 4066 4280 6002 8132 10165 12004 15005 16264 20330 24008 30010 40660 57019 60020 81320 114038 120040 228076 285095 321107 456152 570190 642214 1140380 1284428 1605535 2280760 2568856 3211070 6101033 6422140 12202066 12844280 24404132 30505165 48808264 61010330 122020660 244041320