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34340337440 = 255214627109
BaseRepresentation
bin11111111110110101…
…111111011100100000
310021122020101220000122
4133332311333130200
51030312111244230
623435320335412
72323662023603
oct377665773440
9107566356018
1034340337440
1113622252872
1267a4614568
1333136688c6
14193aa7233a
15d5ebc9be5
hex7fed7f720

34340337440 has 24 divisors (see below), whose sum is σ = 81129047580. Its totient is φ = 13736134912.

The previous prime is 34340337379. The next prime is 34340337509. The reversal of 34340337440 is 4473304343.

It can be written as a sum of positive squares in 2 ways, for example, as 34007785744 + 332551696 = 184412^2 + 18236^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34340337440.

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, 107313395 + ... + 107313714.

Almost surely, 234340337440 is an apocalyptic number.

It is an amenable number.

34340337440 is an abundant number, since it is smaller than the sum of its proper divisors (46788710140).

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

34340337440 is a wasteful number, since it uses less digits than its factorization.

34340337440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214627124 (or 214627116 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 35.

The spelling of 34340337440 in words is "thirty-four billion, three hundred forty million, three hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 214627109 429254218 858508436 1073135545 1717016872 2146271090 3434033744 4292542180 6868067488 8585084360 17170168720 34340337440