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3505130343 = 3211137189431
BaseRepresentation
bin1101000011101100…
…0000101101100111
3100001021112001220100
43100323000231213
524134303132333
61335451035143
7152601054621
oct32073005547
910037461810
103505130343
111539611340
12819a3bab3
1343b244830
14253735c11
15157ac2213
hexd0ec0b67

3505130343 has 96 divisors (see below), whose sum is σ = 6113802240. Its totient is φ = 1907136000.

The previous prime is 3505130297. The next prime is 3505130357. The reversal of 3505130343 is 3430315053.

It is a happy number.

3505130343 is a `hidden beast` number, since 350 + 5 + 1 + 303 + 4 + 3 = 666.

3505130343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3505130343 - 214 = 3505113959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505130243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8132338 + ... + 8132768.

It is an arithmetic number, because the mean of its divisors is an integer number (63685440).

Almost surely, 23505130343 is an apocalyptic number.

3505130343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3505130343 is a deficient number, since it is larger than the sum of its proper divisors (2608671897).

3505130343 is a wasteful number, since it uses less digits than its factorization.

3505130343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 3505130343 is about 59204.1412656243. The cubic root of 3505130343 is about 1519.0359686679.

Adding to 3505130343 its reverse (3430315053), we get a palindrome (6935445396).

The spelling of 3505130343 in words is "three billion, five hundred five million, one hundred thirty thousand, three hundred forty-three".

Divisors: 1 3 9 11 13 33 39 71 89 99 117 143 213 267 429 431 639 781 801 923 979 1157 1287 1293 2343 2769 2937 3471 3879 4741 5603 6319 7029 8307 8811 10153 10413 12727 14223 16809 18957 30459 30601 38181 38359 42669 50427 56871 61633 69509 82147 91377 91803 114543 115077 184899 208527 246441 275409 336611 345231 397813 421949 498667 554697 625581 739323 903617 1009833 1193439 1265847 1496001 2710851 2723489 3029499 3580317 3797541 4375943 4488003 5485337 8132553 8170467 13127829 16456011 24511401 29958379 35405357 39383487 49368033 89875137 106216071 269625411 318648213 389458927 1168376781 3505130343