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44434040 = 2357374289
BaseRepresentation
bin1010100110000…
…0001001111000
310002121111001012
42221200021320
542333342130
64224213052
71046453210
oct251401170
9102544035
1044434040
1123099a52
1212a6a188
139289b41
145c89240
153d7a995
hex2a60278

44434040 has 64 divisors (see below), whose sum is σ = 117374400. Its totient is φ = 14819328.

The previous prime is 44434031. The next prime is 44434057. The reversal of 44434040 is 4043444.

It is a junction number, because it is equal to n+sod(n) for n = 44433997 and 44434015.

It is a congruent number.

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, 8216 + ... + 12504.

It is an arithmetic number, because the mean of its divisors is an integer number (1833975).

Almost surely, 244434040 is an apocalyptic number.

44434040 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 44434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58687200).

44434040 is an abundant number, since it is smaller than the sum of its proper divisors (72940360).

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

44434040 is a wasteful number, since it uses less digits than its factorization.

44434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 44434040 is about 6665.8862876590. The cubic root of 44434040 is about 354.1918799736.

Adding to 44434040 its reverse (4043444), we get a palindrome (48477484).

The spelling of 44434040 in words is "forty-four million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 4289 5180 8578 10360 17156 21445 30023 34312 42890 60046 85780 120092 150115 158693 171560 240184 300230 317386 600460 634772 793465 1110851 1200920 1269544 1586930 2221702 3173860 4443404 5554255 6347720 8886808 11108510 22217020 44434040