Search a number
-
+
30844440 = 23325117789
BaseRepresentation
bin111010110101…
…0011000011000
32011001001121200
41311222120120
530344010230
63021034200
7523113324
oct165523030
964031550
1030844440
1116457980
12a3b5960
13650c463
14414c984
152a94160
hex1d6a618

30844440 has 96 divisors (see below), whose sum is σ = 109371600. Its totient is φ = 7476480.

The previous prime is 30844439. The next prime is 30844507. The reversal of 30844440 is 4444803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66 + ... + 7854.

Almost surely, 230844440 is an apocalyptic number.

30844440 is a gapful number since it is divisible by the number (30) 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 30844440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54685800).

30844440 is an abundant number, since it is smaller than the sum of its proper divisors (78527160).

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

30844440 is a wasteful number, since it uses less digits than its factorization.

30844440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 30844440 is about 5553.7770931142. Note that the first 3 decimals coincide. The cubic root of 30844440 is about 313.6117288321.

The spelling of 30844440 in words is "thirty million, eight hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 7789 15578 23367 31156 38945 46734 62312 70101 77890 85679 93468 116835 140202 155780 171358 186936 233670 257037 280404 311560 342716 350505 428395 467340 514074 560808 685432 701010 771111 856790 934680 1028148 1285185 1402020 1542222 1713580 2056296 2570370 2804040 3084444 3427160 3855555 5140740 6168888 7711110 10281480 15422220 30844440