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340406272 = 212412027
BaseRepresentation
bin10100010010100…
…011000000000000
3212201112102121201
4110102203000000
51144121000042
653440030544
711302256053
oct2422430000
9781472551
10340406272
111651722a8
1296002454
13556a753b
14332d0a9a
151ed411b7
hex144a3000

340406272 has 52 divisors (see below), whose sum is σ = 697676616. Its totient is φ = 165969920.

The previous prime is 340406203. The next prime is 340406273. The reversal of 340406272 is 272604043.

It is a self number, because there is not a number n which added to its sum of digits gives 340406272.

It is not an unprimeable number, because it can be changed into a prime (340406273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166923 + ... + 168949.

It is an arithmetic number, because the mean of its divisors is an integer number (13416858).

Almost surely, 2340406272 is an apocalyptic number.

340406272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348838308).

340406272 is an abundant number, since it is smaller than the sum of its proper divisors (357270344).

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

340406272 is an equidigital number, since it uses as much as digits as its factorization.

340406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 340406272 is about 18450.1022219390. The cubic root of 340406272 is about 698.2310929028.

The spelling of 340406272 in words is "three hundred forty million, four hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2027 2048 2624 4054 4096 5248 8108 10496 16216 20992 32432 41984 64864 83107 83968 129728 166214 167936 259456 332428 518912 664856 1037824 1329712 2075648 2659424 4151296 5318848 8302592 10637696 21275392 42550784 85101568 170203136 340406272