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34243223240 = 2353797238529
BaseRepresentation
bin11111111001000011…
…100001111011001000
310021101110122222101102
4133321003201323020
51030112231120430
623421531040532
72321402411042
oct377103417310
9107343588342
1034243223240
11135824524a6
126777ba0148
1332c94c5795
14192bbd2a92
15d563e5345
hex7f90e1ec8

34243223240 has 64 divisors (see below), whose sum is σ = 79945714800. Its totient is φ = 13189644288.

The previous prime is 34243223237. The next prime is 34243223251. The reversal of 34243223240 is 4232234243.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21697879204 + 12545344036 = 147302^2 + 112006^2 .

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 15 ways as a sum of consecutive naturals, for example, 24296 + ... + 262824.

Almost surely, 234243223240 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 34243223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39972857400).

34243223240 is an abundant number, since it is smaller than the sum of its proper divisors (45702491560).

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

34243223240 is a wasteful number, since it uses less digits than its factorization.

34243223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238674 (or 238670 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 34243223240 its reverse (4232234243), we get a palindrome (38475457483).

The spelling of 34243223240 in words is "thirty-four billion, two hundred forty-three million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 97 148 185 194 296 370 388 485 740 776 970 1480 1940 3589 3880 7178 14356 17945 28712 35890 71780 143560 238529 477058 954116 1192645 1908232 2385290 4770580 8825573 9541160 17651146 23137313 35302292 44127865 46274626 70604584 88255730 92549252 115686565 176511460 185098504 231373130 353022920 462746260 856080581 925492520 1712161162 3424322324 4280402905 6848644648 8560805810 17121611620 34243223240