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44342320 = 24511411229
BaseRepresentation
bin1010100100100…
…1110000110000
310002102211020011
42221021300300
542322423240
64222224304
71045621621
oct251116060
9102384204
1044342320
1123037050
1212a25094
139257179
145c63a48
153d5d6ea
hex2a49c30

44342320 has 80 divisors (see below), whose sum is σ = 115305120. Its totient is φ = 15718400.

The previous prime is 44342299. The next prime is 44342359. The reversal of 44342320 is 2324344.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 44342291 and 44342300.

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, 35466 + ... + 36694.

It is an arithmetic number, because the mean of its divisors is an integer number (1441314).

Almost surely, 244342320 is an apocalyptic number.

44342320 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 44342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57652560).

44342320 is an abundant number, since it is smaller than the sum of its proper divisors (70962800).

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

44342320 is a wasteful number, since it uses less digits than its factorization.

44342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 44342320 is about 6659.0029283670. The cubic root of 44342320 is about 353.9480064509.

Adding to 44342320 its reverse (2324344), we get a palindrome (46666664).

The spelling of 44342320 in words is "forty-four million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1229 1640 1804 2255 2458 3280 3608 4510 4916 6145 7216 9020 9832 12290 13519 18040 19664 24580 27038 36080 49160 50389 54076 67595 98320 100778 108152 135190 201556 216304 251945 270380 403112 503890 540760 554279 806224 1007780 1081520 1108558 2015560 2217116 2771395 4031120 4434232 5542790 8868464 11085580 22171160 44342320