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30641328 = 24363771
BaseRepresentation
bin111010011100…
…0110010110000
32010122202000000
41310320302300
530321010303
63012430000
7521306214
oct164706260
963582000
1030641328
1116329313
12a318300
13646ab83
1440d8944
152a53da3
hex1d38cb0

30641328 has 140 divisors (see below), whose sum is σ = 92703888. Its totient is φ = 9797760.

The previous prime is 30641323. The next prime is 30641333. The reversal of 30641328 is 82314603.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30641323) and next prime (30641333).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30641323) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 431533 + ... + 431603.

Almost surely, 230641328 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 30641328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46351944).

30641328 is an abundant number, since it is smaller than the sum of its proper divisors (62062560).

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

30641328 is an equidigital number, since it uses as much as digits as its factorization.

30641328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30641328 is about 5535.4609564155. The cubic root of 30641328 is about 312.9218299076.

The spelling of 30641328 in words is "thirty million, six hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 71 72 74 81 108 111 142 144 148 162 213 216 222 243 284 296 324 333 426 432 444 486 568 592 639 648 666 729 852 888 972 999 1136 1278 1296 1332 1458 1704 1776 1917 1944 1998 2556 2627 2664 2916 2997 3408 3834 3888 3996 5112 5254 5328 5751 5832 5994 7668 7881 7992 8991 10224 10508 11502 11664 11988 15336 15762 15984 17253 17982 21016 23004 23643 23976 26973 30672 31524 34506 35964 42032 46008 47286 47952 51759 53946 63048 69012 70929 71928 92016 94572 103518 107892 126096 138024 141858 143856 189144 207036 212787 215784 276048 283716 378288 414072 425574 431568 567432 638361 828144 851148 1134864 1276722 1702296 1915083 2553444 3404592 3830166 5106888 7660332 10213776 15320664 30641328