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34033406740 = 2251701670337
BaseRepresentation
bin11111101100100011…
…001001001100010100
310020211211212012020221
4133230203021030110
51024200023003430
623345034004124
72313244120114
oct375443111424
9106754765227
1034033406740
1113484a75233
126719876644
133294bb22c8
14190bdb7044
15d42c9c57a
hex7ec8c9314

34033406740 has 12 divisors (see below), whose sum is σ = 71470154196. Its totient is φ = 13613362688.

The previous prime is 34033406707. The next prime is 34033406741. The reversal of 34033406740 is 4760433043.

It can be written as a sum of positive squares in 2 ways, for example, as 3618744336 + 30414662404 = 60156^2 + 174398^2 .

It is a super-3 number, since 3×340334067403 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34033406696 and 34033406705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033406741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 850835149 + ... + 850835188.

It is an arithmetic number, because the mean of its divisors is an integer number (5955846183).

Almost surely, 234033406740 is an apocalyptic number.

It is an amenable number.

34033406740 is an abundant number, since it is smaller than the sum of its proper divisors (37436747456).

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

34033406740 is a wasteful number, since it uses less digits than its factorization.

34033406740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701670346 (or 1701670344 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 34.

Adding to 34033406740 its reverse (4760433043), we get a palindrome (38793839783).

It can be divided in two parts, 3403 and 3406740, that added together give a palindrome (3410143).

The spelling of 34033406740 in words is "thirty-four billion, thirty-three million, four hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 1701670337 3403340674 6806681348 8508351685 17016703370 34033406740