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3438998343 = 331130737717
BaseRepresentation
bin1100110011111010…
…1111001101000111
322212200002012212000
43030332233031013
524020340421333
61325125400343
7151136001144
oct31476571507
98780065760
103438998343
1115052523a0
127bb8690b3
1342a62b781
14248a3d3cb
15151dac713
hexccfaf347

3438998343 has 32 divisors (see below), whose sum is σ = 5576229120. Its totient is φ = 2077397280.

The previous prime is 3438998279. The next prime is 3438998351.

3438998343 is a `hidden beast` number, since 3 + 438 + 99 + 83 + 43 = 666.

3438998343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3438998343 - 26 = 3438998279 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3438998343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438998543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72321 + ... + 110037.

It is an arithmetic number, because the mean of its divisors is an integer number (174257160).

Almost surely, 23438998343 is an apocalyptic number.

3438998343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3438998343 is a deficient number, since it is larger than the sum of its proper divisors (2137230777).

3438998343 is a wasteful number, since it uses less digits than its factorization.

3438998343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38044 (or 38038 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3438998343 is about 58642.9735177199. The cubic root of 3438998343 is about 1509.4219302410.

The spelling of 3438998343 in words is "three billion, four hundred thirty-eight million, nine hundred ninety-eight thousand, three hundred forty-three".

Divisors: 1 3 9 11 27 33 99 297 307 921 2763 3377 8289 10131 30393 37717 91179 113151 339453 414887 1018359 1244661 3733983 11201949 11579119 34737357 104212071 127370309 312636213 382110927 1146332781 3438998343