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34266156352 = 2617306110289
BaseRepresentation
bin11111111010011011…
…000000110101000000
310021110001211002200221
4133322123000311000
51030134114000402
623424110352424
72322101344321
oct377233006500
9107401732627
1034266156352
111359439648a
1267837bb714
133301194c7c
141930c82448
15d58425337
hex7fa6c0d40

34266156352 has 56 divisors (see below), whose sum is σ = 72027242280. Its totient is φ = 16118415360.

The previous prime is 34266156283. The next prime is 34266156359. The reversal of 34266156352 is 25365166243.

It can be written as a sum of positive squares in 4 ways, for example, as 25746127936 + 8520028416 = 160456^2 + 92304^2 .

It is a super-2 number, since 2×342661563522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34266156299 and 34266156308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34266156359) 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 7 ways as a sum of consecutive naturals, for example, 3325224 + ... + 3335512.

It is an arithmetic number, because the mean of its divisors is an integer number (1286200755).

Almost surely, 234266156352 is an apocalyptic number.

34266156352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34266156352 is an abundant number, since it is smaller than the sum of its proper divisors (37761085928).

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

34266156352 is a wasteful number, since it uses less digits than its factorization.

34266156352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13379 (or 13369 counting only the distinct ones).

The product of its digits is 777600, while the sum is 43.

The spelling of 34266156352 in words is "thirty-four billion, two hundred sixty-six million, one hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 3061 6122 10289 12244 20578 24488 41156 48976 52037 82312 97952 104074 164624 174913 195904 208148 329248 349826 416296 658496 699652 832592 1399304 1665184 2798608 3330368 5597216 11194432 31494629 62989258 125978516 251957032 503914064 535408693 1007828128 1070817386 2015656256 2141634772 4283269544 8566539088 17133078176 34266156352