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2298528 = 253223347
BaseRepresentation
bin1000110001001010100000
311022202222200
420301022200
51042023103
6121133200
725352151
oct10611240
94282880
102298528
11132aa11
1292a200
1362629b
1443b928
153060a3
hex2312a0

2298528 has 72 divisors (see below), whose sum is σ = 6840288. Its totient is φ = 730752.

The previous prime is 2298503. The next prime is 2298577. The reversal of 2298528 is 8258922.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2298492 and 2298501.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6451 + ... + 6797.

It is an arithmetic number, because the mean of its divisors is an integer number (95004).

22298528 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 2298528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420144).

2298528 is an abundant number, since it is smaller than the sum of its proper divisors (4541760).

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

2298528 is a wasteful number, since it uses less digits than its factorization.

2298528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2298528 is about 1516.0897071084. The cubic root of 2298528 is about 131.9724460394.

The spelling of 2298528 in words is "two million, two hundred ninety-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 347 368 414 552 694 736 828 1041 1104 1388 1656 2082 2208 2776 3123 3312 4164 5552 6246 6624 7981 8328 11104 12492 15962 16656 23943 24984 31924 33312 47886 49968 63848 71829 95772 99936 127696 143658 191544 255392 287316 383088 574632 766176 1149264 2298528