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3682341 = 34132269
BaseRepresentation
bin1110000011000000100101
320221002020000
432003000211
51420313331
6210531513
743204455
oct16030045
96832200
103682341
112095663
121296b99
139bc100
146bbd65
154cb0e6
hex383025

3682341 has 30 divisors (see below), whose sum is σ = 5978610. Its totient is φ = 2257632.

The previous prime is 3682337. The next prime is 3682361. The reversal of 3682341 is 1432863.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 245025 + 3437316 = 495^2 + 1854^2 .

It is not a de Polignac number, because 3682341 - 22 = 3682337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

3682341 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682321) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13555 + ... + 13823.

It is an arithmetic number, because the mean of its divisors is an integer number (199287).

Almost surely, 23682341 is an apocalyptic number.

It is an amenable number.

3682341 is a deficient number, since it is larger than the sum of its proper divisors (2296269).

3682341 is a wasteful number, since it uses less digits than its factorization.

3682341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3682341 is about 1918.9426776222. The cubic root of 3682341 is about 154.4215833564.

It can be divided in two parts, 36823 and 41, that added together give a square (36864 = 1922).

The spelling of 3682341 in words is "three million, six hundred eighty-two thousand, three hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 169 269 351 507 807 1053 1521 2421 3497 4563 7263 10491 13689 21789 31473 45461 94419 136383 283257 409149 1227447 3682341