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2728368 = 243218947
BaseRepresentation
bin1010011010000110110000
312010121121200
422122012300
51144301433
6134251200
732122266
oct12320660
95117550
102728368
1115a3955
12ab6b00
13746b26
14510436
1538d613
hex29a1b0

2728368 has 30 divisors (see below), whose sum is σ = 7636044. Its totient is φ = 909408.

The previous prime is 2728357. The next prime is 2728373. The reversal of 2728368 is 8638272.

It is a happy number.

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

It is a d-powerful number, because it can be written as 24 + 7 + 220 + 8 + 34 + 68 + 82 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9330 + ... + 9617.

22728368 is an apocalyptic number.

It is an amenable number.

2728368 is an abundant number, since it is smaller than the sum of its proper divisors (4907676).

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

2728368 is a wasteful number, since it uses less digits than its factorization.

2728368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18961 (or 18952 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2728368 is about 1651.7772246886. Note that the first 3 decimals coincide. The cubic root of 2728368 is about 139.7336432246.

The spelling of 2728368 in words is "two million, seven hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 18947 37894 56841 75788 113682 151576 170523 227364 303152 341046 454728 682092 909456 1364184 2728368