Search a number
-
+
244040032 = 25172391877
BaseRepresentation
bin11101000101111…
…00000101100000
3122000012111222201
432202330011200
5444433240112
640114342544
76022206655
oct1642740540
9560174881
10244040032
11115832985
126988aa54
133b7369b2
14245a7c2c
1516658257
hexe8bc160

244040032 has 48 divisors (see below), whose sum is σ = 511116480. Its totient is φ = 114300928.

The previous prime is 244040023. The next prime is 244040039. The reversal of 244040032 is 230040442.

It is a super-2 number, since 2×2440400322 = 119111074437122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244039991 and 244040009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244040039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129078 + ... + 130954.

It is an arithmetic number, because the mean of its divisors is an integer number (10648260).

Almost surely, 2244040032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255558240).

244040032 is an abundant number, since it is smaller than the sum of its proper divisors (267076448).

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

244040032 is a wasteful number, since it uses less digits than its factorization.

244040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 244040032 is about 15621.7806923539. The cubic root of 244040032 is about 624.9141488479.

Adding to 244040032 its reverse (230040442), we get a palindrome (474080474).

The spelling of 244040032 in words is "two hundred forty-four million, forty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 239 272 478 544 956 1877 1912 3754 3824 4063 7508 7648 8126 15016 16252 30032 31909 32504 60064 63818 65008 127636 130016 255272 448603 510544 897206 1021088 1794412 3588824 7177648 7626251 14355296 15252502 30505004 61010008 122020016 244040032