Search a number
-
+
44304040 = 23511175923
BaseRepresentation
bin1010100100000…
…0011010101000
310002100212201101
42221000122220
542320212130
64221331144
71045402204
oct251003250
9102325641
1044304040
1123010310
1212a06ab4
139242911
145c53b04
153d521ca
hex2a406a8

44304040 has 64 divisors (see below), whose sum is σ = 115162560. Its totient is φ = 15160320.

The previous prime is 44304037. The next prime is 44304041. The reversal of 44304040 is 4040344.

It is a junction number, because it is equal to n+sod(n) for n = 44303999 and 44304017.

It is not an unprimeable number, because it can be changed into a prime (44304041) 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, 4519 + ... + 10441.

It is an arithmetic number, because the mean of its divisors is an integer number (1799415).

Almost surely, 244304040 is an apocalyptic number.

44304040 is a gapful number since it is divisible by the number (40) 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 44304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57581280).

44304040 is an abundant number, since it is smaller than the sum of its proper divisors (70858520).

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

44304040 is a wasteful number, since it uses less digits than its factorization.

44304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5958 counting only the distinct ones).

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

The square root of 44304040 is about 6656.1280035769. The cubic root of 44304040 is about 353.8461246183.

Adding to 44304040 its reverse (4040344), we get a palindrome (48344384).

The spelling of 44304040 in words is "forty-four million, three hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 5923 7480 11846 23692 29615 47384 59230 65153 100691 118460 130306 201382 236920 260612 325765 402764 503455 521224 651530 805528 1006910 1107601 1303060 2013820 2215202 2606120 4027640 4430404 5538005 8860808 11076010 22152020 44304040