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304434432 = 2832229577
BaseRepresentation
bin10010001001010…
…100110100000000
3210012211212112100
4102021110310000
51110413400212
650113030400
710354435641
oct2211246400
9705755470
10304434432
11146933105
1285b55400
134b0c1323
142c6096c8
151bad7bdc
hex12254d00

304434432 has 108 divisors (see below), whose sum is σ = 883120420. Its totient is φ = 100859904.

The previous prime is 304434421. The next prime is 304434451. The reversal of 304434432 is 234434403.

It can be written as a sum of positive squares in 2 ways, for example, as 295289856 + 9144576 = 17184^2 + 3024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 304434396 and 304434405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527328 + ... + 527904.

Almost surely, 2304434432 is an apocalyptic number.

304434432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441560210).

304434432 is an abundant number, since it is smaller than the sum of its proper divisors (578685988).

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

304434432 is a wasteful number, since it uses less digits than its factorization.

304434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 304434432 is about 17448.0495184992. The cubic root of 304434432 is about 672.7152248944.

Adding to 304434432 its reverse (234434403), we get a palindrome (538868835).

The spelling of 304434432 in words is "three hundred four million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 229 256 288 384 458 576 577 687 768 916 1152 1154 1374 1731 1832 2061 2304 2308 2748 3462 3664 4122 4616 5193 5496 6924 7328 8244 9232 10386 10992 13848 14656 16488 18464 20772 21984 27696 29312 32976 36928 41544 43968 55392 58624 65952 73856 83088 87936 110784 131904 132133 147712 166176 175872 221568 263808 264266 332352 396399 443136 527616 528532 664704 792798 1057064 1189197 1329408 1585596 2114128 2378394 3171192 4228256 4756788 6342384 8456512 9513576 12684768 16913024 19027152 25369536 33826048 38054304 50739072 76108608 101478144 152217216 304434432