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234691344 = 243719353
BaseRepresentation
bin11011111110100…
…01101100010000
3121100121120000000
431333101230100
5440040110334
635142130000
75546562216
oct1577215420
9540546000
10234691344
11110528098
1266720900
1339812724
1423252cb6
151590d299
hexdfd1b10

234691344 has 160 divisors (see below), whose sum is σ = 719894400. Its totient is φ = 73903104.

The previous prime is 234691313. The next prime is 234691349. The reversal of 234691344 is 443196432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 234691299 and 234691308.

It is not an unprimeable number, because it can be changed into a prime (234691349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664672 + ... + 665024.

It is an arithmetic number, because the mean of its divisors is an integer number (4499340).

Almost surely, 2234691344 is an apocalyptic number.

234691344 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 234691344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359947200).

234691344 is an abundant number, since it is smaller than the sum of its proper divisors (485203056).

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

234691344 is an equidigital number, since it uses as much as digits as its factorization.

234691344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 377 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 234691344 is about 15319.6391602413. The cubic root of 234691344 is about 616.8302881461.

The spelling of 234691344 in words is "two hundred thirty-four million, six hundred ninety-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 353 432 456 486 513 648 684 706 729 912 972 1026 1059 1296 1368 1412 1458 1539 1944 2052 2118 2187 2736 2824 2916 3078 3177 3888 4104 4236 4374 4617 5648 5832 6156 6354 6707 8208 8472 8748 9234 9531 11664 12312 12708 13414 13851 16944 17496 18468 19062 20121 24624 25416 26828 27702 28593 34992 36936 38124 40242 41553 50832 53656 55404 57186 60363 73872 76248 80484 83106 85779 107312 110808 114372 120726 152496 160968 166212 171558 181089 221616 228744 241452 257337 321936 332424 343116 362178 457488 482904 514674 543267 664848 686232 724356 772011 965808 1029348 1086534 1372464 1448712 1544022 1629801 2058696 2173068 2897424 3088044 3259602 4117392 4346136 4889403 6176088 6519204 8692272 9778806 12352176 13038408 14668209 19557612 26076816 29336418 39115224 58672836 78230448 117345672 234691344