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3386564552 = 2372910719489
BaseRepresentation
bin1100100111011010…
…1101111111001000
322202000102022012202
43021312231333020
523413430031202
61320013455332
7146631216020
oct31166557710
98660368182
103386564552
11148869a088
127a61a1548
1341c800667
14241ab0a80
1514c4a1802
hexc9dadfc8

3386564552 has 64 divisors (see below), whose sum is σ = 7577712000. Its totient is φ = 1388169216.

The previous prime is 3386564549. The next prime is 3386564563. The reversal of 3386564552 is 2554656833.

It is a super-2 number, since 2×33865645522 = 22937638929725921408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3386564497 and 3386564506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164024 + ... + 183512.

It is an arithmetic number, because the mean of its divisors is an integer number (118401750).

Almost surely, 23386564552 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 3386564552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788856000).

3386564552 is an abundant number, since it is smaller than the sum of its proper divisors (4191147448).

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

3386564552 is a wasteful number, since it uses less digits than its factorization.

3386564552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19638 (or 19634 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 47.

The square root of 3386564552 is about 58194.1968928174. The cubic root of 3386564552 is about 1501.7113138238.

The spelling of 3386564552 in words is "three billion, three hundred eighty-six million, five hundred sixty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 107 116 203 214 232 406 428 749 812 856 1498 1624 2996 3103 5992 6206 12412 19489 21721 24824 38978 43442 77956 86884 136423 155912 173768 272846 545692 565181 1091384 1130362 2085323 2260724 3956267 4170646 4521448 7912534 8341292 14597261 15825068 16682584 29194522 31650136 58389044 60474367 116778088 120948734 241897468 423320569 483794936 846641138 1693282276 3386564552