Search a number
-
+
30463320 = 233517109137
BaseRepresentation
bin111010000110…
…1010101011000
32010022200211010
41310031111120
530244311240
63004533520
7516635226
oct164152530
963280733
1030463320
11162175a8
12a2512a0
136407b44
14408db16
152a1b280
hex1d0d558

30463320 has 128 divisors (see below), whose sum is σ = 98366400. Its totient is φ = 7520256.

The previous prime is 30463319. The next prime is 30463333. The reversal of 30463320 is 2336403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222292 + ... + 222428.

Almost surely, 230463320 is an apocalyptic number.

30463320 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 30463320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49183200).

30463320 is an abundant number, since it is smaller than the sum of its proper divisors (67903080).

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

30463320 is a wasteful number, since it uses less digits than its factorization.

30463320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 30463320 is about 5519.3586583950. The cubic root of 30463320 is about 312.3146890666.

Adding to 30463320 its reverse (2336403), we get a palindrome (32799723).

The spelling of 30463320 in words is "thirty million, four hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 109 120 136 137 170 204 218 255 274 327 340 408 411 436 510 545 548 654 680 685 822 872 1020 1090 1096 1308 1370 1635 1644 1853 2040 2055 2180 2329 2616 2740 3270 3288 3706 4110 4360 4658 5480 5559 6540 6987 7412 8220 9265 9316 11118 11645 13080 13974 14824 14933 16440 18530 18632 22236 23290 27795 27948 29866 34935 37060 44472 44799 46580 55590 55896 59732 69870 74120 74665 89598 93160 111180 119464 139740 149330 179196 222360 223995 253861 279480 298660 358392 447990 507722 597320 761583 895980 1015444 1269305 1523166 1791960 2030888 2538610 3046332 3807915 5077220 6092664 7615830 10154440 15231660 30463320