Search a number
-
+
30038008 = 2371131331
BaseRepresentation
bin111001010010…
…1011111111000
32002112002101211
41302211133320
530142204013
62551452504
7513214240
oct162453770
962462354
1030038008
1115a57000
12a087134
1362b9390
143dbcb20
15298523d
hex1ca57f8

30038008 has 128 divisors (see below), whose sum is σ = 78704640. Its totient is φ = 10454400.

The previous prime is 30037991. The next prime is 30038011. The reversal of 30038008 is 80083003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30038008.

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, 968953 + ... + 968983.

It is an arithmetic number, because the mean of its divisors is an integer number (614880).

Almost surely, 230038008 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 30038008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39352320).

30038008 is an abundant number, since it is smaller than the sum of its proper divisors (48666632).

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

30038008 is a wasteful number, since it uses less digits than its factorization.

30038008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 30038008 is about 5480.6941166243. The cubic root of 30038008 is about 310.8544170991.

Adding to 30038008 its reverse (80083003), we get a palindrome (110121011).

It can be divided in two parts, 3003 and 8008, that added together give a palindrome (11011).

The spelling of 30038008 in words is "thirty million, thirty-eight thousand, eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 77 88 91 104 121 124 143 154 182 217 242 248 286 308 341 364 403 434 484 572 616 682 728 806 847 868 968 1001 1144 1331 1364 1573 1612 1694 1736 2002 2387 2662 2728 2821 3146 3224 3388 3751 4004 4433 4774 5324 5642 6292 6776 7502 8008 8866 9317 9548 10648 11011 11284 12584 15004 17303 17732 18634 19096 22022 22568 26257 30008 31031 34606 35464 37268 41261 44044 48763 52514 62062 69212 74536 82522 88088 97526 105028 121121 124124 138424 165044 195052 210056 242242 248248 288827 330088 341341 390104 484484 536393 577654 682682 968968 1072786 1155308 1365364 2145572 2310616 2730728 3754751 4291144 7509502 15019004 30038008