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2048364 = 2232173347
BaseRepresentation
bin111110100000101101100
310212001211100
413310011230
51011021424
6111523100
723260623
oct7640554
93761740
102048364
111179a6a
12829490
13569466
143b46ba
152a6dc9
hex1f416c

2048364 has 36 divisors (see below), whose sum is σ = 5484024. Its totient is φ = 642432.

The previous prime is 2048359. The next prime is 2048369. The reversal of 2048364 is 4638402.

It is an interprime number because it is at equal distance from previous prime (2048359) and next prime (2048369).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1062 + ... + 2285.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

22048364 is an apocalyptic number.

It is an amenable number.

2048364 is an abundant number, since it is smaller than the sum of its proper divisors (3435660).

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

2048364 is a wasteful number, since it uses less digits than its factorization.

2048364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2048364 is about 1431.2106763157. The cubic root of 2048364 is about 126.9996073313. Note that the first 3 decimals are identical.

It can be divided in two parts, 20 and 48364, that added together give a palindrome (48384).

The spelling of 2048364 in words is "two million, forty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3347 6694 10041 13388 20082 30123 40164 56899 60246 113798 120492 170697 227596 341394 512091 682788 1024182 2048364