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2365428 = 2231359257
BaseRepresentation
bin1001000001011111110100
311110011202110
421001133310
51101143203
6122411020
726051202
oct11013764
94404673
102365428
1113761aa
12960a70
1364a880
14458072
1531ad03
hex2417f4

2365428 has 48 divisors (see below), whose sum is σ = 6068160. Its totient is φ = 712704.

The previous prime is 2365427. The next prime is 2365439. The reversal of 2365428 is 8245632.

2365428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 217 + 310 + 6 + 57 + 42 + 221 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 2365395 and 2365404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2365421) 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 15 ways as a sum of consecutive naturals, for example, 9076 + ... + 9332.

It is an arithmetic number, because the mean of its divisors is an integer number (126420).

22365428 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 2365428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034080).

2365428 is an abundant number, since it is smaller than the sum of its proper divisors (3702732).

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

2365428 is a wasteful number, since it uses less digits than its factorization.

2365428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2365428 is about 1537.9947984307. The cubic root of 2365428 is about 133.2405994070.

The spelling of 2365428 in words is "two million, three hundred sixty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 257 354 514 708 767 771 1028 1534 1542 2301 3068 3084 3341 4602 6682 9204 10023 13364 15163 20046 30326 40092 45489 60652 90978 181956 197119 394238 591357 788476 1182714 2365428