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906304 = 2672172
BaseRepresentation
bin11011101010001000000
31201001012211
43131101000
5213000204
631231504
710463200
oct3352100
91631184
10906304
11569a13
12378594
13259699
14198400
1512d804
hexdd440

906304 has 63 divisors (see below), whose sum is σ = 2222373. Its totient is φ = 365568.

The previous prime is 906293. The next prime is 906313. The reversal of 906304 is 403609.

The square root of 906304 is 952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 200704 = 840^2 + 448^2 .

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an unprimeable number.

906304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53304 + ... + 53320.

2906304 is an apocalyptic number.

906304 is the 952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906304

906304 is an abundant number, since it is smaller than the sum of its proper divisors (1316069).

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

906304 is a wasteful number, since it uses less digits than its factorization.

906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The cubic root of 906304 is about 96.7738380680.

The spelling of 906304 in words is "nine hundred six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 289 392 448 476 544 578 784 833 952 1088 1156 1568 1666 1904 2023 2312 3136 3332 3808 4046 4624 6664 7616 8092 9248 13328 14161 16184 18496 26656 28322 32368 53312 56644 64736 113288 129472 226576 453152 906304