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344423223320 = 235112128955207
BaseRepresentation
bin1010000001100010011…
…10010101000000011000
31012221000110001120221112
411000301032111000120
521120334321121240
6422120440555452
733612062044061
oct5006116250030
91187013046845
10344423223320
11123083a26500
1256902782b88
132662c3b5777
1412954d51568
158e5c66a665
hex5031395018

344423223320 has 96 divisors (see below), whose sum is σ = 852483290400. Its totient is φ = 125145377280.

The previous prime is 344423223307. The next prime is 344423223359. The reversal of 344423223320 is 23322324443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6211157 + ... + 6266363.

It is an arithmetic number, because the mean of its divisors is an integer number (8880034275).

Almost surely, 2344423223320 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 344423223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426241645200).

344423223320 is an abundant number, since it is smaller than the sum of its proper divisors (508060067080).

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

344423223320 is a wasteful number, since it uses less digits than its factorization.

344423223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56529 (or 56514 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 344423223320 its reverse (23322324443), we get a palindrome (367745547763).

The spelling of 344423223320 in words is "three hundred forty-four billion, four hundred twenty-three million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1289 2420 2578 4840 5156 6445 10312 12890 14179 25780 28358 51560 55207 56716 70895 110414 113432 141790 155969 220828 276035 283580 311938 441656 552070 567160 607277 623876 779845 1104140 1214554 1247752 1559690 2208280 2429108 3036385 3119380 4858216 6072770 6238760 6680047 12145540 13360094 24291080 26720188 33400235 53440376 66800470 71161823 133600940 142323646 267201880 284647292 355809115 569294584 711618230 782780053 1423236460 1565560106 2846472920 3131120212 3913900265 6262240424 7827800530 8610580583 15655601060 17221161166 31311202120 34442322332 43052902915 68884644664 86105805830 172211611660 344423223320