Search a number
-
+
30484608 = 2737111031
BaseRepresentation
bin111010001001…
…0100010000000
32010100210000120
41310102202000
530301001413
63005220240
7520054260
oct164224200
963323016
1030484608
11162315a0
12a261680
13641473b
1440977a0
152a22723
hex1d12880

30484608 has 128 divisors (see below), whose sum is σ = 101053440. Its totient is φ = 7910400.

The previous prime is 30484603. The next prime is 30484609. The reversal of 30484608 is 80648403.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×304846082 = 1858622649827328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (30484603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29053 + ... + 30083.

It is an arithmetic number, because the mean of its divisors is an integer number (789480).

Almost surely, 230484608 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 30484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50526720).

30484608 is an abundant number, since it is smaller than the sum of its proper divisors (70568832).

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

30484608 is a wasteful number, since it uses less digits than its factorization.

30484608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 30484608 is about 5521.2868065334. The cubic root of 30484608 is about 312.3874214216.

The spelling of 30484608 in words is "thirty million, four hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1031 1056 1232 1344 1408 1848 2062 2112 2464 2688 3093 3696 4124 4224 4928 6186 7217 7392 8248 9856 11341 12372 14434 14784 16496 21651 22682 24744 28868 29568 32992 34023 43302 45364 49488 57736 65984 68046 79387 86604 90728 98976 115472 131968 136092 158774 173208 181456 197952 230944 238161 272184 317548 346416 362912 395904 461888 476322 544368 635096 692832 725824 923776 952644 1088736 1270192 1385664 1451648 1905288 2177472 2540384 2771328 3810576 4354944 5080768 7621152 10161536 15242304 30484608