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2364128 = 25135683
BaseRepresentation
bin1001000001001011100000
311110002222022
421001023200
51101123003
6122401012
726044334
oct11011340
94402868
102364128
111375228
12960168
1364a0c0
144577c4
1531a738
hex2412e0

2364128 has 24 divisors (see below), whose sum is σ = 5013288. Its totient is φ = 1090944.

The previous prime is 2364127. The next prime is 2364133. The reversal of 2364128 is 8214632.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 220 + 36 + 6 + 49 + 1 + 220 + 84 .

It is a junction number, because it is equal to n+sod(n) for n = 2364097 and 2364106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2364121) 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 3 ways as a sum of consecutive naturals, for example, 2426 + ... + 3257.

It is an arithmetic number, because the mean of its divisors is an integer number (208887).

22364128 is an apocalyptic number.

It is an amenable number.

2364128 is an abundant number, since it is smaller than the sum of its proper divisors (2649160).

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

2364128 is a wasteful number, since it uses less digits than its factorization.

2364128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706 (or 5698 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 2364128 is about 1537.5721121300. The cubic root of 2364128 is about 133.2161859928.

The spelling of 2364128 in words is "two million, three hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 5683 11366 22732 45464 73879 90928 147758 181856 295516 591032 1182064 2364128