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3367503342 = 23374191367
BaseRepresentation
bin1100100010111000…
…0000010111101110
322200200112220011000
43020232000113232
523344040101332
61314053141130
7146310210000
oct31056002756
98620486130
103367503342
111478960115
1279b92a7a6
13418888638
1423d34c370
1514a988b7c
hexc8b805ee

3367503342 has 160 divisors (see below), whose sum is σ = 9196243200. Its totient is φ = 910837872.

The previous prime is 3367503341. The next prime is 3367503379. The reversal of 3367503342 is 2433057633.

It is a super-2 number, since 2×33675033422 = 22680157516762337928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3367503297 and 3367503306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3367503341) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2462743 + ... + 2464109.

It is an arithmetic number, because the mean of its divisors is an integer number (57476520).

Almost surely, 23367503342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3367503342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598121600).

3367503342 is an abundant number, since it is smaller than the sum of its proper divisors (5828739858).

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

3367503342 is a wasteful number, since it uses less digits than its factorization.

3367503342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The square root of 3367503342 is about 58030.1933651784. The cubic root of 3367503342 is about 1498.8885606718. Note that the first 3 decimals are identical.

The spelling of 3367503342 in words is "three billion, three hundred sixty-seven million, five hundred three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 343 378 399 441 513 686 798 882 931 1026 1029 1197 1323 1367 1862 2058 2394 2401 2646 2734 2793 3087 3591 4101 4802 5586 6174 6517 7182 7203 8202 8379 9261 9569 12303 13034 14406 16758 18522 19138 19551 21609 24606 25137 25973 28707 36909 39102 43218 45619 50274 51946 57414 58653 64827 66983 73818 77919 86121 91238 117306 129654 133966 136857 155838 172242 175959 181811 200949 233757 258363 273714 351918 363622 401898 410571 467514 468881 516726 545433 602847 701271 821142 937762 1090866 1205694 1231713 1272677 1402542 1406643 1636299 1808541 2463426 2545354 2813286 3272598 3282167 3617082 3818031 4219929 4908897 6564334 7636062 8439858 8908739 9817794 9846501 11454093 12659787 17817478 19693002 22908186 25319574 26726217 29539503 34362279 53452434 59079006 62361173 68724558 80178651 88618509 124722346 160357302 177237018 187083519 240535953 374167038 481071906 561250557 1122501114 1683751671 3367503342