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44134416 = 2433192283
BaseRepresentation
bin1010100001011…
…1000000010000
310002001021001000
42220113000100
542244300131
64213542000
71044064524
oct250270020
9102037030
1044134416
1122a04927
1212944900
1391b3651
145c0bd84
153d1bce6
hex2a17010

44134416 has 120 divisors (see below), whose sum is σ = 134172960. Its totient is φ = 13887936.

The previous prime is 44134411. The next prime is 44134423. The reversal of 44134416 is 61443144.

It is a super-2 number, since 2×441344162 = 3895693351322112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44134416.

It is not an unprimeable number, because it can be changed into a prime (44134411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155811 + ... + 156093.

It is an arithmetic number, because the mean of its divisors is an integer number (1118108).

Almost surely, 244134416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67086480).

44134416 is an abundant number, since it is smaller than the sum of its proper divisors (90038544).

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

44134416 is a wasteful number, since it uses less digits than its factorization.

44134416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 307 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 44134416 is about 6643.3738416561. The cubic root of 44134416 is about 353.3939645171.

The spelling of 44134416 in words is "forty-four million, one hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 283 304 342 361 432 456 513 566 684 722 849 912 1026 1083 1132 1368 1444 1698 2052 2166 2264 2547 2736 2888 3249 3396 4104 4332 4528 5094 5377 5776 6498 6792 7641 8208 8664 9747 10188 10754 12996 13584 15282 16131 17328 19494 20376 21508 25992 30564 32262 38988 40752 43016 48393 51984 61128 64524 77976 86032 96786 102163 122256 129048 145179 155952 193572 204326 258096 290358 306489 387144 408652 580716 612978 774288 817304 919467 1161432 1225956 1634608 1838934 2322864 2451912 2758401 3677868 4903824 5516802 7355736 11033604 14711472 22067208 44134416