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44349440 = 21156171
BaseRepresentation
bin1010100100101…
…1100000000000
310002110011222212
42221023200000
542323140230
64222321252
71045651442
oct251134000
9102404885
1044349440
1123041433
1212a29228
13925a495
145c66492
153d60895
hex2a4b800

44349440 has 96 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 17203200.

The previous prime is 44349433. The next prime is 44349463. The reversal of 44349440 is 4494344.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 44349397 and 44349406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624605 + ... + 624675.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 244349440 is an apocalyptic number.

44349440 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 44349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

44349440 is an abundant number, since it is smaller than the sum of its proper divisors (65331040).

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

44349440 is an equidigital number, since it uses as much as digits as its factorization.

44349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 44349440 is about 6659.5375214800. The cubic root of 44349440 is about 353.9669497909.

The spelling of 44349440 in words is "forty-four million, three hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 71 80 122 128 142 160 244 256 284 305 320 355 488 512 568 610 640 710 976 1024 1136 1220 1280 1420 1952 2048 2272 2440 2560 2840 3904 4331 4544 4880 5120 5680 7808 8662 9088 9760 10240 11360 15616 17324 18176 19520 21655 22720 31232 34648 36352 39040 43310 45440 62464 69296 72704 78080 86620 90880 124928 138592 145408 156160 173240 181760 277184 312320 346480 363520 554368 624640 692960 727040 1108736 1385920 2217472 2771840 4434944 5543680 8869888 11087360 22174720 44349440