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2034084 = 2231321759
BaseRepresentation
bin111110000100110100100
310211100020110
413300212210
51010042314
6111333020
723201163
oct7604644
93740213
102034084
11116a268
12821170
13562b00
143ad3da
152a2a59
hex1f09a4

2034084 has 72 divisors (see below), whose sum is σ = 5533920. Its totient is φ = 579072.

The previous prime is 2034061. The next prime is 2034103. The reversal of 2034084 is 4804302.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2034084.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34447 + ... + 34505.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

22034084 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 2034084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766960).

2034084 is an abundant number, since it is smaller than the sum of its proper divisors (3499836).

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

2034084 is a wasteful number, since it uses less digits than its factorization.

2034084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2034084 is about 1426.2131677979. The cubic root of 2034084 is about 126.7037964404.

Adding to 2034084 its reverse (4804302), we get a palindrome (6838386).

The spelling of 2034084 in words is "two million, thirty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 59 68 78 102 118 156 169 177 204 221 236 338 354 442 507 663 676 708 767 884 1003 1014 1326 1534 2006 2028 2301 2652 2873 3009 3068 4012 4602 5746 6018 8619 9204 9971 11492 12036 13039 17238 19942 26078 29913 34476 39117 39884 52156 59826 78234 119652 156468 169507 339014 508521 678028 1017042 2034084