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2144328 = 233471901
BaseRepresentation
bin1000001011100001001000
311000221110120
420023201020
51022104303
6113543240
724140454
oct10134110
94027416
102144328
11123507a
12874b20
135a1044
143db664
152c5553
hex20b848

2144328 has 32 divisors (see below), whose sum is σ = 5477760. Its totient is φ = 699200.

The previous prime is 2144323. The next prime is 2144369. The reversal of 2144328 is 8234412.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2144298 and 2144307.

It is not an unprimeable number, because it can be changed into a prime (2144323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 2078.

It is an arithmetic number, because the mean of its divisors is an integer number (171180).

22144328 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 2144328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738880).

2144328 is an abundant number, since it is smaller than the sum of its proper divisors (3333432).

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

2144328 is a wasteful number, since it uses less digits than its factorization.

2144328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1953 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2144328 is about 1464.3524165992. The cubic root of 2144328 is about 128.9526898204.

The spelling of 2144328 in words is "two million, one hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1901 3802 5703 7604 11406 15208 22812 45624 89347 178694 268041 357388 536082 714776 1072164 2144328