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160985344 = 28132612
BaseRepresentation
bin10011001100001…
…11000100000000
3102012220220101011
421212013010000
5312203012334
623550250304
73663232012
oct1146070400
9365826334
10160985344
1182965743
1245ab6994
1327477100
14175481b2
15e1ee564
hex9987100

160985344 has 81 divisors (see below), whose sum is σ = 353759679. Its totient is φ = 73082880.

The previous prime is 160985333. The next prime is 160985369. The reversal of 160985344 is 443589061.

The square root of 160985344 is 12688.

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

160985344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 113209600 + 47775744 = 10640^2 + 6912^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 160985297 and 160985306.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2639074 + ... + 2639134.

Almost surely, 2160985344 is an apocalyptic number.

160985344 is the 12688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160985344

160985344 is an abundant number, since it is smaller than the sum of its proper divisors (192774335).

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

160985344 is an frugal number, since it uses more digits than its factorization.

160985344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The cubic root of 160985344 is about 543.9956747061.

The spelling of 160985344 in words is "one hundred sixty million, nine hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 169 208 244 256 338 416 488 676 793 832 976 1352 1586 1664 1952 2704 3172 3328 3721 3904 5408 6344 7442 7808 10309 10816 12688 14884 15616 20618 21632 25376 29768 41236 43264 48373 50752 59536 82472 96746 101504 119072 164944 193492 203008 238144 329888 386984 476288 628849 659776 773968 952576 1257698 1319552 1547936 2515396 2639104 3095872 5030792 6191744 10061584 12383488 20123168 40246336 80492672 160985344