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3642705 = 335112223
BaseRepresentation
bin1101111001010101010001
320212001212000
431321111101
51413031310
6210024213
742651063
oct15712521
96761760
103642705
112068900
121278069
139a7061
146ab733
154be4c0
hex379551

3642705 has 48 divisors (see below), whose sum is σ = 7150080. Its totient is φ = 1758240.

The previous prime is 3642701. The next prime is 3642707. The reversal of 3642705 is 5072463.

It is a happy number.

It is not a de Polignac number, because 3642705 - 22 = 3642701 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (3642701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16224 + ... + 16446.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

Almost surely, 23642705 is an apocalyptic number.

It is an amenable number.

3642705 is a deficient number, since it is larger than the sum of its proper divisors (3507375).

3642705 is a wasteful number, since it uses less digits than its factorization.

3642705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3642705 is about 1908.5871738016. The cubic root of 3642705 is about 153.8655288740.

The spelling of 3642705 in words is "three million, six hundred forty-two thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 121 135 165 223 297 363 495 605 669 1089 1115 1485 1815 2007 2453 3267 3345 5445 6021 7359 10035 12265 16335 22077 26983 30105 36795 66231 80949 110385 134915 242847 331155 404745 728541 1214235 3642705