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34344350240 = 255214652189
BaseRepresentation
bin11111111111000101…
…010011001000100000
310021122111221202112212
4133333011103020200
51030314123201430
623435542341252
72324041105664
oct377705231040
9107574852485
1034344350240
1113624543732
1267a5a2a828
133314442245
14193b3d88a4
15d6021db95
hex7ff153220

34344350240 has 24 divisors (see below), whose sum is σ = 81138527820. Its totient is φ = 13737740032.

The previous prime is 34344350221. The next prime is 34344350251. The reversal of 34344350240 is 4205344343.

It can be written as a sum of positive squares in 2 ways, for example, as 34273857424 + 70492816 = 185132^2 + 8396^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 34344350197 and 34344350206.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107325935 + ... + 107326254.

Almost surely, 234344350240 is an apocalyptic number.

It is an amenable number.

34344350240 is an abundant number, since it is smaller than the sum of its proper divisors (46794177580).

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

34344350240 is a wasteful number, since it uses less digits than its factorization.

34344350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214652204 (or 214652196 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 34344350240 its reverse (4205344343), we get a palindrome (38549694583).

The spelling of 34344350240 in words is "thirty-four billion, three hundred forty-four million, three hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 214652189 429304378 858608756 1073260945 1717217512 2146521890 3434435024 4293043780 6868870048 8586087560 17172175120 34344350240