[go: up one dir, main page]

Search a number
-
+
30003288 = 2337231823
BaseRepresentation
bin111001001110…
…1000001011000
32002110022202220
41302131001120
530140101123
62551024040
7513011100
oct162350130
962408686
1030003288
1115a32a07
12a06b020
1362a6633
143db0200
152979ce3
hex1c9d058

30003288 has 96 divisors (see below), whose sum is σ = 90178560. Its totient is φ = 8285760.

The previous prime is 30003269. The next prime is 30003301. The reversal of 30003288 is 88230003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36045 + ... + 36867.

It is an arithmetic number, because the mean of its divisors is an integer number (939360).

Almost surely, 230003288 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 30003288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45089280).

30003288 is an abundant number, since it is smaller than the sum of its proper divisors (60175272).

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

30003288 is a wasteful number, since it uses less digits than its factorization.

30003288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30003288 is about 5477.5257187895. The cubic root of 30003288 is about 310.7346019368.

The spelling of 30003288 in words is "thirty million, three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 372 392 434 588 651 744 823 868 1176 1302 1519 1646 1736 2469 2604 3038 3292 4557 4938 5208 5761 6076 6584 9114 9876 11522 12152 17283 18228 19752 23044 25513 34566 36456 40327 46088 51026 69132 76539 80654 102052 120981 138264 153078 161308 178591 204104 241962 306156 322616 357182 483924 535773 612312 714364 967848 1071546 1250137 1428728 2143092 2500274 3750411 4286184 5000548 7500822 10001096 15001644 30003288