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3386192481 = 32721721632
BaseRepresentation
bin1100100111010101…
…0011001001100001
322201222201101211100
43021311103021201
523413331124411
61320001505013
7146625106200
oct31165231141
98658641740
103386192481
111488465591
127a6042169
1341c7001b9
14241a15237
1514c42b456
hexc9d53261

3386192481 has 81 divisors (see below), whose sum is σ = 6081409971. Its totient is φ = 1809972864.

The previous prime is 3386192473. The next prime is 3386192489. The reversal of 3386192481 is 1842916833.

The square root of 3386192481 is 58191.

It is a perfect power (a square), and thus also a powerful number.

3386192481 is a `hidden beast` number, since 3 + 3 + 8 + 619 + 24 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3386192473) and next prime (3386192489).

It can be written as a sum of positive squares in only one way, i.e., 2636309025 + 749883456 = 51345^2 + 27384^2 .

It is not a de Polignac number, because 3386192481 - 23 = 3386192473 is a prime.

It is a super-3 number, since 3×33861924813 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3386192489) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20774106 + ... + 20774268.

Almost surely, 23386192481 is an apocalyptic number.

3386192481 is the 58191-st square number.

3386192481 is the 29096-th centered octagonal number.

It is an amenable number.

3386192481 is a deficient number, since it is larger than the sum of its proper divisors (2695217490).

3386192481 is a wasteful number, since it uses less digits than its factorization.

3386192481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 3386192481 is about 1501.6563157389.

The spelling of 3386192481 in words is "three billion, three hundred eighty-six million, one hundred ninety-two thousand, four hundred eighty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 163 289 357 441 489 833 867 1071 1141 1467 2023 2499 2601 2771 3423 6069 7497 7987 8313 10269 14161 18207 19397 23961 24939 26569 42483 47107 58191 71883 79707 127449 135779 141321 174573 185983 239121 329749 407337 423963 451673 557949 989247 1222011 1301881 1355019 1673847 2308243 2967741 3161711 3905643 4065057 6924729 7678441 9485133 11716929 20774187 22131977 23035323 28455399 53749087 66395931 69105969 161247261 199187793 376243609 483741783 1128730827 3386192481