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2056344 = 233471823
BaseRepresentation
bin111110110000010011000
310212110202220
413312002120
51011300334
6112024040
723323113
oct7660230
93773686
102056344
111184a64
12832020
1356cc94
143b757a
152a9449
hex1f6098

2056344 has 32 divisors (see below), whose sum is σ = 5253120. Its totient is φ = 670496.

The previous prime is 2056343. The next prime is 2056357. The reversal of 2056344 is 4436502.

2056344 = T272 + T273 + ... + T318.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 215 + 0 + 59 + 66 + 39 + 42 + 46 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217 + ... + 2039.

It is an arithmetic number, because the mean of its divisors is an integer number (164160).

22056344 is an apocalyptic number.

2056344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626560).

2056344 is an abundant number, since it is smaller than the sum of its proper divisors (3196776).

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

2056344 is a wasteful number, since it uses less digits than its factorization.

2056344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2056344 is about 1433.9958158935. The cubic root of 2056344 is about 127.1643149769.

The spelling of 2056344 in words is "two million, fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1823 3646 5469 7292 10938 14584 21876 43752 85681 171362 257043 342724 514086 685448 1028172 2056344