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853340944 = 246721092
BaseRepresentation
bin110010110111001…
…111001100010000
32012110201012201011
4302313033030100
53221423402234
6220402020304
730101164321
oct6267171420
92173635634
10853340944
113a8763755
121b9947694
13107a3ab91
1481492448
154edb1b64
hex32dcf310

853340944 has 45 divisors (see below), whose sum is σ = 1693932597. Its totient is φ = 416446272.

The previous prime is 853340941. The next prime is 853340951. The reversal of 853340944 is 449043358.

It is a happy number.

The square root of 853340944 is 29212.

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

853340944 is digitally balanced in base 2, 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 only one way, i.e., 594774544 + 258566400 = 24388^2 + 16080^2 .

It is a super-2 number, since 2×8533409442 = 1456381533413622272, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 853340897 and 853340906.

It is not an unprimeable number, because it can be changed into a prime (853340941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7828762 + ... + 7828870.

Almost surely, 2853340944 is an apocalyptic number.

853340944 is the 29212-nd square number.

It is an amenable number.

853340944 is a deficient number, since it is larger than the sum of its proper divisors (840591653).

853340944 is an equidigital number, since it uses as much as digits as its factorization.

853340944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The cubic root of 853340944 is about 948.5077010149.

The spelling of 853340944 in words is "eight hundred fifty-three million, three hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 67 109 134 218 268 436 536 872 1072 1744 4489 7303 8978 11881 14606 17956 23762 29212 35912 47524 58424 71824 95048 116848 190096 489301 796027 978602 1592054 1957204 3184108 3914408 6368216 7828816 12736432 53333809 106667618 213335236 426670472 853340944