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244010304 = 2632537993
BaseRepresentation
bin11101000101101…
…00110101000000
3122000011000012200
432202310311000
5444431312204
640113553200
76022024206
oct1642646500
9560130180
10244010304
1111581260a
1269875800
133b7262c5
142459b076
151664e539
hexe8b4d40

244010304 has 84 divisors (see below), whose sum is σ = 712697076. Its totient is φ = 79792128.

The previous prime is 244010303. The next prime is 244010329. The reversal of 244010304 is 403010442.

It can be written as a sum of positive squares in 2 ways, for example, as 91240704 + 152769600 = 9552^2 + 12360^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244010303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26532 + ... + 34524.

It is an arithmetic number, because the mean of its divisors is an integer number (8484489).

Almost surely, 2244010304 is an apocalyptic number.

244010304 is a gapful number since it is divisible by the number (24) 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 244010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356348538).

244010304 is an abundant number, since it is smaller than the sum of its proper divisors (468686772).

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

244010304 is a wasteful number, since it uses less digits than its factorization.

244010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8064 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 244010304 is about 15620.8291713340. The cubic root of 244010304 is about 624.8887729535. Note that the first 3 decimals are identical.

Adding to 244010304 its reverse (403010442), we get a palindrome (647020746).

The spelling of 244010304 in words is "two hundred forty-four million, ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 7993 10176 15264 15986 23979 30528 31972 47958 63944 71937 95916 127888 143874 191832 255776 287748 383664 423629 511552 575496 767328 847258 1150992 1270887 1534656 1694516 2301984 2541774 3389032 3812661 4603968 5083548 6778064 7625322 10167096 13556128 15250644 20334192 27112256 30501288 40668384 61002576 81336768 122005152 244010304