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385730304 = 2834211193
BaseRepresentation
bin10110111111011…
…100011100000000
3222212211010111120
4112333130130000
51242221332204
6102135312240
712362440101
oct2677343400
9885733446
10385730304
11188809983
12a921b680
1361bb64ab
143932c3a8
1523ce56d9
hex16fdc700

385730304 has 72 divisors (see below), whose sum is σ = 1029906192. Its totient is φ = 128163840.

The previous prime is 385730281. The next prime is 385730311. The reversal of 385730304 is 403037583.

It is a congruent number.

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, 322732 + ... + 323924.

Almost surely, 2385730304 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 385730304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514953096).

385730304 is an abundant number, since it is smaller than the sum of its proper divisors (644175888).

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

385730304 is a wasteful number, since it uses less digits than its factorization.

385730304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 385730304 is about 19640.0179225987. The cubic root of 385730304 is about 727.9383275051.

Adding to 385730304 its reverse (403037583), we get a palindrome (788767887).

The spelling of 385730304 in words is "three hundred eighty-five million, seven hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 421 768 842 1193 1263 1684 2386 2526 3368 3579 4772 5052 6736 7158 9544 10104 13472 14316 19088 20208 26944 28632 38176 40416 53888 57264 76352 80832 107776 114528 152704 161664 229056 305408 323328 458112 502253 916224 1004506 1506759 2009012 3013518 4018024 6027036 8036048 12054072 16072096 24108144 32144192 48216288 64288384 96432576 128576768 192865152 385730304