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342032240000 = 275411388673
BaseRepresentation
bin1001111101000101011…
…01011100110110000000
31012200211211000001102202
410332202231130312000
521100440223140000
6421043305532332
733465610033163
oct4764255346600
91180754001382
10342032240000
11122067312330
1256355aa40a8
132633ac35c39
14127a959bada
158d6c7c5dd5
hex4fa2b5cd80

342032240000 has 160 divisors (see below), whose sum is σ = 928876445640. Its totient is φ = 124375040000.

The previous prime is 342032239981. The next prime is 342032240021. The reversal of 342032240000 is 42230243.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 685664 + ... + 1074336.

Almost surely, 2342032240000 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 342032240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464438222820).

342032240000 is an abundant number, since it is smaller than the sum of its proper divisors (586844205640).

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

342032240000 is an equidigital number, since it uses as much as digits as its factorization.

342032240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388718 (or 388691 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 342032240000 its reverse (42230243), we get a palindrome (342074470243).

The spelling of 342032240000 in words is "three hundred forty-two billion, thirty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 55000 80000 88000 110000 176000 220000 388673 440000 777346 880000 1554692 1943365 3109384 3886730 4275403 6218768 7773460 8550806 9716825 12437536 15546920 17101612 19433650 21377015 24875072 31093840 34203224 38867300 42754030 48584125 49750144 62187680 68406448 77734600 85508060 97168250 106885075 124375360 136812896 155469200 171016120 194336500 213770150 242920625 248750720 273625792 310938400 342032240 388673000 427540300 485841250 534425375 547251584 621876800 684064480 777346000 855080600 971682500 1068850750 1243753600 1368128960 1554692000 1710161200 1943365000 2137701500 2672126875 2736257920 3109384000 3420322400 3886730000 4275403000 5344253750 6218768000 6840644800 7773460000 8550806000 10688507500 13681289600 15546920000 17101612000 21377015000 31093840000 34203224000 42754030000 68406448000 85508060000 171016120000 342032240000