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3422131335 = 35572471223
BaseRepresentation
bin1100101111111001…
…1001010010000111
322211111100021200000
43023332121102013
524002031200320
61323324052343
7150542431200
oct31376312207
98744307600
103422131335
1114a6781a17
127b60940b3
13426ca43ac
142466cc5a7
15150679c90
hexcbf99487

3422131335 has 144 divisors (see below), whose sum is σ = 7313918976. Its totient is φ = 1529865792.

The previous prime is 3422131333. The next prime is 3422131367. The reversal of 3422131335 is 5331312243.

3422131335 is a `hidden beast` number, since 342 + 2 + 1 + 313 + 3 + 5 = 666.

It is not a de Polignac number, because 3422131335 - 21 = 3422131333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3422131299 and 3422131308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422131333) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2797534 + ... + 2798756.

It is an arithmetic number, because the mean of its divisors is an integer number (50791104).

Almost surely, 23422131335 is an apocalyptic number.

3422131335 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3422131335 is an abundant number, since it is smaller than the sum of its proper divisors (3891787641).

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

3422131335 is a wasteful number, since it uses less digits than its factorization.

3422131335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1285 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 3422131335 is about 58498.9857604386. The cubic root of 3422131335 is about 1506.9501670481.

Adding to 3422131335 its reverse (5331312243), we get a palindrome (8753443578).

It can be divided in two parts, 34221 and 31335, that added together give a palindrome (65556).

The spelling of 3422131335 in words is "three billion, four hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 47 49 63 81 105 135 141 147 189 235 243 245 315 329 405 423 441 567 705 735 945 987 1215 1223 1269 1323 1645 1701 2115 2205 2303 2835 2961 3669 3807 3969 4935 6115 6345 6615 6909 8505 8561 8883 11007 11421 11515 11907 14805 18345 19035 19845 20727 25683 26649 33021 34545 42805 44415 55035 57105 57481 59535 59927 62181 77049 79947 99063 103635 128415 133245 165105 172443 179781 186543 231147 287405 297189 299635 310905 385245 399735 402367 495315 517329 539343 559629 693441 862215 898905 932715 1155735 1207101 1485945 1551987 1618029 2011835 2080323 2586645 2696715 2798145 2816569 3467205 3621303 4655961 4854087 6035505 7759935 8090145 8449707 10401615 10863909 13967883 14082845 14562261 18106515 23279805 24270435 25349121 32591727 42248535 54319545 69839415 72811305 76047363 97775181 126745605 162958635 228142089 380236815 488875905 684426267 1140710445 3422131335