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34337931340 = 22519722738393
BaseRepresentation
bin11111111110101100…
…110100000001001100
310021122001212122110211
4133332230310001030
51030311002300330
623435153012204
72323632412666
oct377654640114
9107561778424
1034337931340
111362095a059
1267a3854064
13331300568b
14193a607536
15d5e8a1d2a
hex7feb3404c

34337931340 has 48 divisors (see below), whose sum is σ = 72796866912. Its totient is φ = 13604896256.

The previous prime is 34337931269. The next prime is 34337931343. The reversal of 34337931340 is 4313973343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34337931293 and 34337931302.

It is not an unprimeable number, because it can be changed into a prime (34337931343) by changing a digit.

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, 875184 + ... + 913576.

It is an arithmetic number, because the mean of its divisors is an integer number (1516601394).

Almost surely, 234337931340 is an apocalyptic number.

It is an amenable number.

34337931340 is an abundant number, since it is smaller than the sum of its proper divisors (38458935572).

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

34337931340 is a wasteful number, since it uses less digits than its factorization.

34337931340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38826 (or 38824 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 40.

The spelling of 34337931340 in words is "thirty-four billion, three hundred thirty-seven million, nine hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 197 227 394 454 788 908 985 1135 1970 2270 3940 4540 38393 44719 76786 89438 153572 178876 191965 223595 383930 447190 767860 894380 7563421 8715211 15126842 17430422 30253684 34860844 37817105 43576055 75634210 87152110 151268420 174304220 1716896567 3433793134 6867586268 8584482835 17168965670 34337931340