Search a number
-
+
30666888 = 2332771857
BaseRepresentation
bin111010011111…
…1000010001000
32010201001001200
41310333002020
530322320023
63013144200
7521443560
oct164770210
963631050
1030666888
111634653a
12a32b060
1364796b5
144103da0
152a5b743
hex1d3f088

30666888 has 96 divisors (see below), whose sum is σ = 96370560. Its totient is φ = 8628480.

The previous prime is 30666871. The next prime is 30666899. The reversal of 30666888 is 88866603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35356 + ... + 36212.

It is an arithmetic number, because the mean of its divisors is an integer number (1003860).

Almost surely, 230666888 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 30666888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48185280).

30666888 is an abundant number, since it is smaller than the sum of its proper divisors (65703672).

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

30666888 is a wasteful number, since it uses less digits than its factorization.

30666888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 30666888 is about 5537.7692259609. The cubic root of 30666888 is about 313.0088154655.

The spelling of 30666888 in words is "thirty million, six hundred sixty-six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 71 72 84 126 142 168 213 252 284 426 497 504 568 639 852 857 994 1278 1491 1704 1714 1988 2556 2571 2982 3428 3976 4473 5112 5142 5964 5999 6856 7713 8946 10284 11928 11998 15426 17892 17997 20568 23996 30852 35784 35994 47992 53991 60847 61704 71988 107982 121694 143976 182541 215964 243388 365082 425929 431928 486776 547623 730164 851858 1095246 1277787 1460328 1703716 2190492 2555574 3407432 3833361 4380984 5111148 7666722 10222296 15333444 30666888