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340235390209 = 11213240792
BaseRepresentation
bin1001111001101111001…
…11000000110100000001
31012112012120220121220111
410330313213000310001
521033300224441314
6420145121111321
733403231046101
oct4746747006401
91175176817814
10340235390209
1112132500a500
1255b34188541
13261128a9a00
1412678aa5201
158cb4b90ec4
hex4f379c0d01

340235390209 has 27 divisors (see below), whose sum is σ = 405057450819. Its totient is φ = 285442219920.

The previous prime is 340235390207. The next prime is 340235390249. The reversal of 340235390209 is 902093532043.

The square root of 340235390209 is 583297.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50330679025 + 289904711184 = 224345^2 + 538428^2 .

It is not a de Polignac number, because 340235390209 - 21 = 340235390207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (340235390207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83409432 + ... + 83413510.

Almost surely, 2340235390209 is an apocalyptic number.

340235390209 is the 583297-th square number.

340235390209 is the 291649-th centered octagonal number.

It is an amenable number.

340235390209 is a deficient number, since it is larger than the sum of its proper divisors (64822060610).

340235390209 is an frugal number, since it uses more digits than its factorization.

340235390209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8206 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The spelling of 340235390209 in words is "three hundred forty billion, two hundred thirty-five million, three hundred ninety thousand, two hundred nine".

Divisors: 1 11 13 121 143 169 1573 1859 4079 20449 44869 53027 493559 583297 689351 6416267 7582861 16638241 83411471 183020651 216297133 2013227161 2379268463 2811862729 26171953093 30930490019 340235390209