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3642012 = 22321117541
BaseRepresentation
bin1101111001001010011100
320212000220100
431321022130
51413021022
6210021100
742646053
oct15711234
96760810
103642012
112068330
121277790
139a694a
146ab39a
154be1ac
hex37929c

3642012 has 72 divisors (see below), whose sum is σ = 10653552. Its totient is φ = 1036800.

The previous prime is 3641999. The next prime is 3642019. The reversal of 3642012 is 2102463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6462 + ... + 7002.

It is an arithmetic number, because the mean of its divisors is an integer number (147966).

Almost surely, 23642012 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 3642012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326776).

3642012 is an abundant number, since it is smaller than the sum of its proper divisors (7011540).

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

3642012 is a wasteful number, since it uses less digits than its factorization.

3642012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3642012 is about 1908.4056172627. The cubic root of 3642012 is about 153.8557709629.

Adding to 3642012 its reverse (2102463), we get a palindrome (5744475).

The spelling of 3642012 in words is "three million, six hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 541 561 612 748 1082 1122 1623 1683 2164 2244 3246 3366 4869 5951 6492 6732 9197 9738 11902 17853 18394 19476 23804 27591 35706 36788 53559 55182 71412 82773 101167 107118 110364 165546 202334 214236 303501 331092 404668 607002 910503 1214004 1821006 3642012