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30466304 = 281131349
BaseRepresentation
bin111010000111…
…0000100000000
32010022211220122
41310032010000
530244410204
63004555412
7516650021
oct164160400
963284818
1030466304
1116219870
12a252b68
1364092cb
144090c48
152a1c0be
hex1d0e100

30466304 has 72 divisors (see below), whose sum is σ = 68678400. Its totient is φ = 13363200.

The previous prime is 30466297. The next prime is 30466333. The reversal of 30466304 is 40366403.

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, 87122 + ... + 87470.

Almost surely, 230466304 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 30466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34339200).

30466304 is an abundant number, since it is smaller than the sum of its proper divisors (38212096).

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

30466304 is a wasteful number, since it uses less digits than its factorization.

30466304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 30466304 is about 5519.6289730380. The cubic root of 30466304 is about 312.3248862108.

Subtracting 30466304 from its reverse (40366403), we obtain a palindrome (9900099).

The spelling of 30466304 in words is "thirty million, four hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 349 352 496 682 698 704 992 1364 1396 1408 1984 2728 2792 2816 3839 3968 5456 5584 7678 7936 10819 10912 11168 15356 21638 21824 22336 30712 43276 43648 44672 61424 86552 87296 89344 119009 122848 173104 238018 245696 346208 476036 491392 692416 952072 982784 1384832 1904144 2769664 3808288 7616576 15233152 30466304