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234205728 = 25353191241
BaseRepresentation
bin11011111010110…
…11001000100000
3121022200212212020
431331123020200
5434424040403
635123501440
75542500351
oct1575331040
9538625766
10234205728
11110226259
1266527880
13396a2693
1423167d28
1515864453
hexdf5b220

234205728 has 96 divisors (see below), whose sum is σ = 632282112. Its totient is φ = 75878400.

The previous prime is 234205709. The next prime is 234205729. The reversal of 234205728 is 827502432.

234205728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (234205729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971688 + ... + 971928.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2234205728 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 234205728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316141056).

234205728 is an abundant number, since it is smaller than the sum of its proper divisors (398076384).

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

234205728 is a wasteful number, since it uses less digits than its factorization.

234205728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 234205728 is about 15303.7814934741. The cubic root of 234205728 is about 616.4045523813.

The spelling of 234205728 in words is "two hundred thirty-four million, two hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 191 212 241 318 382 424 482 573 636 723 764 848 964 1146 1272 1446 1528 1696 1928 2292 2544 2892 3056 3856 4584 5088 5784 6112 7712 9168 10123 11568 12773 18336 20246 23136 25546 30369 38319 40492 46031 51092 60738 76638 80984 92062 102184 121476 138093 153276 161968 184124 204368 242952 276186 306552 323936 368248 408736 485904 552372 613104 736496 971808 1104744 1226208 1472992 2209488 2439643 4418976 4879286 7318929 9758572 14637858 19517144 29275716 39034288 58551432 78068576 117102864 234205728