Search a number
-
+
30988008 = 2334172997
BaseRepresentation
bin111011000110…
…1011011101000
32011022100120000
41312031123220
530413104013
63024103000
7524252022
oct166153350
964270500
1030988008
1116545827
12a464a60
13655c8cc
144189012
152ac1973
hex1d8d6e8

30988008 has 160 divisors (see below), whose sum is σ = 96049800. Its totient is φ = 9289728.

The previous prime is 30988007. The next prime is 30988033. The reversal of 30988008 is 80088903.

It can be written as a sum of positive squares in 4 ways, for example, as 28965924 + 2022084 = 5382^2 + 1422^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30988007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319416 + ... + 319512.

Almost surely, 230988008 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 30988008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48024900).

30988008 is an abundant number, since it is smaller than the sum of its proper divisors (65061792).

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

30988008 is a wasteful number, since it uses less digits than its factorization.

30988008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 30988008 is about 5566.6873452710. The cubic root of 30988008 is about 314.0975530935.

The spelling of 30988008 in words is "thirty million, nine hundred eighty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 29 34 36 51 54 58 68 72 81 87 97 102 108 116 136 153 162 174 194 204 216 232 261 291 306 324 348 388 408 459 493 522 582 612 648 696 776 783 873 918 986 1044 1164 1224 1377 1479 1566 1649 1746 1836 1972 2088 2328 2349 2619 2754 2813 2958 3132 3298 3492 3672 3944 4437 4698 4947 5238 5508 5626 5916 6264 6596 6984 7857 8439 8874 9396 9894 10476 11016 11252 11832 13192 13311 14841 15714 16878 17748 18792 19788 20952 22504 25317 26622 29682 31428 33756 35496 39576 39933 44523 47821 50634 53244 59364 62856 67512 75951 79866 89046 95642 101268 106488 118728 133569 143463 151902 159732 178092 191284 202536 227853 267138 286926 303804 319464 356184 382568 430389 455706 534276 573852 607608 860778 911412 1068552 1147704 1291167 1721556 1822824 2582334 3443112 3873501 5164668 7747002 10329336 15494004 30988008