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3684369104 = 2413472631433
BaseRepresentation
bin1101101110011011…
…0000001011010000
3100111202210100020222
43123212300023100
530021144302404
61405332452212
7160205422613
oct33346601320
910452710228
103684369104
111620804049
12869a7a068
13469410080
1426d47217a
151686c9dbe
hexdb9b02d0

3684369104 has 80 divisors (see below), whose sum is σ = 7886495232. Its totient is φ = 1656812544.

The previous prime is 3684369079. The next prime is 3684369109. The reversal of 3684369104 is 4019634863.

It is a super-3 number, since 3×36843691043 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684369109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2570372 + ... + 2571804.

Almost surely, 23684369104 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 3684369104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943247616).

3684369104 is an abundant number, since it is smaller than the sum of its proper divisors (4202126128).

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

3684369104 is a wasteful number, since it uses less digits than its factorization.

3684369104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 3684369104 is about 60699.0041433960. The cubic root of 3684369104 is about 1544.4992814686.

The spelling of 3684369104 in words is "three billion, six hundred eighty-four million, three hundred sixty-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 263 376 526 611 752 1052 1222 1433 2104 2444 2866 3419 4208 4888 5732 6838 9776 11464 12361 13676 18629 22928 24722 27352 37258 49444 54704 67351 74516 98888 134702 149032 160693 197776 269404 298064 321386 376879 538808 642772 753758 875563 1077616 1285544 1507516 1751126 2571088 3015032 3502252 4899427 6030064 7004504 9798854 14009008 17713313 19597708 35426626 39195416 70853252 78390832 141706504 230273069 283413008 460546138 921092276 1842184552 3684369104