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234434404440 = 233351631331711
BaseRepresentation
bin1101101001010101100…
…0010010000001011000
3211102010010200200012000
43122111120102001120
512320110201420230
6255410410521000
722636334362455
oct3322530220130
9742103620160
10234434404440
1190472122995
1239527736160
1319151301c12
14b4bd43c82c
156171530b60
hex3695612058

234434404440 has 128 divisors (see below), whose sum is σ = 786242764800. Its totient is φ = 62132261760.

The previous prime is 234434404427. The next prime is 234434404441. The reversal of 234434404440 is 44404434432.

234434404440 is a `hidden beast` number, since 234 + 4 + 344 + 0 + 44 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 234434404395 and 234434404404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234434404441) 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, 489816 + ... + 841895.

It is an arithmetic number, because the mean of its divisors is an integer number (6142521600).

Almost surely, 2234434404440 is an apocalyptic number.

234434404440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234434404440 is an abundant number, since it is smaller than the sum of its proper divisors (551808360360).

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

234434404440 is a wasteful number, since it uses less digits than its factorization.

234434404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331894 (or 1331884 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 234434404440 its reverse (44404434432), we get a palindrome (278838838872).

The spelling of 234434404440 in words is "two hundred thirty-four billion, four hundred thirty-four million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 163 180 216 270 326 360 489 540 652 815 978 1080 1304 1467 1630 1956 2445 2934 3260 3912 4401 4890 5868 6520 7335 8802 9780 11736 14670 17604 19560 22005 29340 35208 44010 58680 88020 176040 1331711 2663422 3995133 5326844 6658555 7990266 10653688 11985399 13317110 15980532 19975665 23970798 26634220 31961064 35956197 39951330 47941596 53268440 59926995 71912394 79902660 95883192 119853990 143824788 159805320 179780985 217068893 239707980 287649576 359561970 434137786 479415960 651206679 719123940 868275572 1085344465 1302413358 1438247880 1736551144 1953620037 2170688930 2604826716 3256033395 3907240074 4341377860 5209653432 5860860111 6512066790 7814480148 8682755720 9768100185 11721720222 13024133580 15628960296 19536200370 23443440444 26048267160 29304300555 39072400740 46886880888 58608601110 78144801480 117217202220 234434404440