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234335430 = 23457371117
BaseRepresentation
bin11011111011110…
…10110011000110
3121022221110210000
431331322303012
5434442213210
635130342130
75543550450
oct1575726306
9538843700
10234335430
1111030474a
126658a946
1339719724
142319d2d0
151588cac0
hexdf7acc6

234335430 has 160 divisors (see below), whose sum is σ = 740241216. Its totient is φ = 52068096.

The previous prime is 234335411. The next prime is 234335441. The reversal of 234335430 is 34533432.

It is a happy number.

234335430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 234335394 and 234335403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 209232 + ... + 210348.

Almost surely, 2234335430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234335430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370120608).

234335430 is an abundant number, since it is smaller than the sum of its proper divisors (505905786).

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

234335430 is a wasteful number, since it uses less digits than its factorization.

234335430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 234335430 is about 15308.0184870544. The cubic root of 234335430 is about 616.5183186700.

Adding to 234335430 its reverse (34533432), we get a palindrome (268868862).

It can be divided in two parts, 2343 and 35430, that added together give a palindrome (37773).

The spelling of 234335430 in words is "two hundred thirty-four million, three hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 54 63 70 74 81 90 105 111 126 135 162 185 189 210 222 259 270 315 333 370 378 405 518 555 567 630 666 777 810 945 999 1110 1117 1134 1295 1554 1665 1890 1998 2234 2331 2590 2835 2997 3330 3351 3885 4662 4995 5585 5670 5994 6702 6993 7770 7819 9990 10053 11170 11655 13986 14985 15638 16755 20106 20979 23310 23457 29970 30159 33510 34965 39095 41329 41958 46914 50265 60318 69930 70371 78190 82658 90477 100530 104895 117285 123987 140742 150795 180954 206645 209790 211113 234570 247974 289303 301590 351855 371961 413290 422226 452385 578606 619935 633339 703710 743922 867909 904770 1055565 1115883 1239870 1266678 1446515 1735818 1859805 2111130 2231766 2603727 2893030 3166695 3347649 3719610 4339545 5207454 5579415 6333390 6695298 7811181 8679090 11158830 13018635 15622362 16738245 23433543 26037270 33476490 39055905 46867086 78111810 117167715 234335430