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2064312 = 233319503
BaseRepresentation
bin111110111111110111000
310212212201000
413313332320
51012024222
6112125000
723355255
oct7677670
93785630
102064312
11118aa48
12836760
135737b3
143ba42c
152ab9ac
hex1f7fb8

2064312 has 64 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 650592.

The previous prime is 2064299. The next prime is 2064313. The reversal of 2064312 is 2134602.

It is a happy number.

2064312 is a `hidden beast` number, since 20 + 643 + 1 + 2 = 666.

It is a super-2 number, since 2×20643122 = 8522768066688, which contains 22 as substring.

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 (2064313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3853 + ... + 4355.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

22064312 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 2064312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2064312 is an abundant number, since it is smaller than the sum of its proper divisors (3983688).

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

2064312 is a wasteful number, since it uses less digits than its factorization.

2064312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

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

The square root of 2064312 is about 1436.7713805613. The cubic root of 2064312 is about 127.3283503315.

Adding to 2064312 its reverse (2134602), we get a palindrome (4198914).

The spelling of 2064312 in words is "two million, sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 503 513 684 1006 1026 1368 1509 2012 2052 3018 4024 4104 4527 6036 9054 9557 12072 13581 18108 19114 27162 28671 36216 38228 54324 57342 76456 86013 108648 114684 172026 229368 258039 344052 516078 688104 1032156 2064312