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3383468556 = 2231322117907
BaseRepresentation
bin1100100110101011…
…1010001000001100
322201210121000022020
43021222322020030
523412131443211
61315423250140
7146563002546
oct31152721014
98653530266
103383468556
111486975006
127a5149950
1341bc88400
14241506696
1514c08e306
hexc9aba20c

3383468556 has 72 divisors (see below), whose sum is σ = 8590365504. Its totient is φ = 1036002240.

The previous prime is 3383468551. The next prime is 3383468581. The reversal of 3383468556 is 6558643833.

It is a happy number.

It is a super-2 number, since 2×33834685562 = 22895718938881450272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3383468499 and 3383468508.

It is not an unprimeable number, because it can be changed into a prime (3383468551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423955 + ... + 431861.

It is an arithmetic number, because the mean of its divisors is an integer number (119310632).

Almost surely, 23383468556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3383468556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295182752).

3383468556 is an abundant number, since it is smaller than the sum of its proper divisors (5206896948).

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

3383468556 is a wasteful number, since it uses less digits than its factorization.

3383468556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8136 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 51.

The square root of 3383468556 is about 58167.5902543676. The cubic root of 3383468556 is about 1501.2535530003.

The spelling of 3383468556 in words is "three billion, three hundred eighty-three million, four hundred sixty-eight thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 211 338 422 507 633 676 844 1014 1266 2028 2532 2743 5486 7907 8229 10972 15814 16458 23721 31628 32916 35659 47442 71318 94884 102791 106977 142636 205582 213954 308373 411164 427908 616746 1233492 1336283 1668377 2672566 3336754 4008849 5005131 5345132 6673508 8017698 10010262 16035396 20020524 21688901 43377802 65066703 86755604 130133406 260266812 281955713 563911426 845867139 1127822852 1691734278 3383468556