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30150288 = 2432724273
BaseRepresentation
bin111001100000…
…0111010010000
32002201210102100
41303000322100
530204302123
62554120400
7514162500
oct163007220
962653370
1030150288
11160233a3
12a120100
13632850c
14400ba00
1529a8643
hex1cc0e90

30150288 has 90 divisors (see below), whose sum is σ = 98178054. Its totient is φ = 8612352.

The previous prime is 30150257. The next prime is 30150311. The reversal of 30150288 is 88205103.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22924944 + 7225344 = 4788^2 + 2688^2 .

It is a super-3 number, since 3×301502883 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4920 + ... + 9192.

Almost surely, 230150288 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 30150288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49089027).

30150288 is an abundant number, since it is smaller than the sum of its proper divisors (68027766).

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

30150288 is a wasteful number, since it uses less digits than its factorization.

30150288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 30150288 is about 5490.9277904558. The cubic root of 30150288 is about 311.2412529598.

The spelling of 30150288 in words is "thirty million, one hundred fifty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 4273 7056 8546 12819 17092 25638 29911 34184 38457 51276 59822 68368 76914 89733 102552 119644 153828 179466 205104 209377 239288 269199 307656 358932 418754 478576 538398 615312 628131 717864 837508 1076796 1256262 1435728 1675016 1884393 2153592 2512524 3350032 3768786 4307184 5025048 7537572 10050096 15075144 30150288