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30342304 = 253173419
BaseRepresentation
bin111001110111…
…1110010100000
32010002112211001
41303233302200
530231423204
63002201344
7515622346
oct163576240
963075731
1030342304
1116144693
12a1b3254
136394a35
14405b996
1529e54a4
hex1cefca0

30342304 has 48 divisors (see below), whose sum is σ = 62657280. Its totient is φ = 14446080.

The previous prime is 30342281. The next prime is 30342329. The reversal of 30342304 is 40324303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72207 + ... + 72625.

It is an arithmetic number, because the mean of its divisors is an integer number (1305360).

Almost surely, 230342304 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 30342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31328640).

30342304 is an abundant number, since it is smaller than the sum of its proper divisors (32314976).

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

30342304 is a wasteful number, since it uses less digits than its factorization.

30342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 30342304 is about 5508.3848812515. The cubic root of 30342304 is about 311.9005819554.

Adding to 30342304 its reverse (40324303), we get a palindrome (70666607).

The spelling of 30342304 in words is "thirty million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 73 124 146 248 292 419 496 584 838 992 1168 1676 2263 2336 3352 4526 6704 9052 12989 13408 18104 25978 30587 36208 51956 61174 72416 103912 122348 207824 244696 415648 489392 948197 978784 1896394 3792788 7585576 15171152 30342304