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44414320 = 2453117909
BaseRepresentation
bin1010100101101…
…1010101110000
310002120110222211
42221123111300
542332224240
64223541504
71046341546
oct251332560
9102513884
1044414320
1123086155
1212a5a894
139280b82
145c81d96
153d74bea
hex2a5b570

44414320 has 40 divisors (see below), whose sum is σ = 106600320. Its totient is φ = 17191680.

The previous prime is 44414299. The next prime is 44414329. The reversal of 44414320 is 2341444.

44414320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 44414291 and 44414300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44414329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6475 + ... + 11434.

It is an arithmetic number, because the mean of its divisors is an integer number (2665008).

Almost surely, 244414320 is an apocalyptic number.

44414320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44414320 is an abundant number, since it is smaller than the sum of its proper divisors (62186000).

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

44414320 is a wasteful number, since it uses less digits than its factorization.

44414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17953 (or 17947 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 44414320 is about 6664.4069503595. The cubic root of 44414320 is about 354.1394749750.

Adding to 44414320 its reverse (2341444), we get a palindrome (46755764).

The spelling of 44414320 in words is "forty-four million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 17909 35818 71636 89545 143272 179090 286544 358180 555179 716360 1110358 1432720 2220716 2775895 4441432 5551790 8882864 11103580 22207160 44414320