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234434304 = 2833132609
BaseRepresentation
bin11011111100100…
…10111100000000
3121100010111102000
431332102330000
5440003344204
635132424000
75544441636
oct1576227400
9540114360
10234434304
11110371a65
1266618000
1339752730
14231c7356
15158ac039
hexdf92f00

234434304 has 144 divisors (see below), whose sum is σ = 746877600. Its totient is φ = 72105984.

The previous prime is 234434287. The next prime is 234434309. The reversal of 234434304 is 403434432.

234434304 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234434309) 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, 88552 + ... + 91160.

It is an arithmetic number, because the mean of its divisors is an integer number (5186650).

Almost surely, 2234434304 is an apocalyptic number.

234434304 is a gapful number since it is divisible by the number (24) 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 234434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373438800).

234434304 is an abundant number, since it is smaller than the sum of its proper divisors (512443296).

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

234434304 is a wasteful number, since it uses less digits than its factorization.

234434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2627 counting only the distinct ones).

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

The square root of 234434304 is about 15311.2476304186. The cubic root of 234434304 is about 616.6050164162.

Adding to 234434304 its reverse (403434432), we get a palindrome (637868736).

The spelling of 234434304 in words is "two hundred thirty-four million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2609 2808 3328 3456 3744 4992 5218 5616 6912 7488 7827 9984 10436 11232 14976 15654 20872 22464 23481 29952 31308 33917 41744 44928 46962 62616 67834 70443 83488 89856 93924 101751 125232 135668 140886 166976 187848 203502 250464 271336 281772 305253 333952 375696 407004 500928 542672 563544 610506 667904 751392 814008 915759 1001856 1085344 1127088 1221012 1502784 1628016 1831518 2003712 2170688 2254176 2442024 3005568 3256032 3663036 4341376 4508352 4884048 6011136 6512064 7326072 8682752 9016704 9768096 13024128 14652144 18033408 19536192 26048256 29304288 39072384 58608576 78144768 117217152 234434304