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301070340 = 223251798389
BaseRepresentation
bin10001111100011…
…111100000000100
3202222111221212100
4101330133200010
51104033222330
645512552100
710314025044
oct2174374004
9688457770
10301070340
11144a4566a
12849b2630
134a4b403c
142bdb1724
151b671060
hex11f1f804

301070340 has 72 divisors (see below), whose sum is σ = 966976920. Its totient is φ = 75561984.

The previous prime is 301070311. The next prime is 301070351. The reversal of 301070340 is 43070103.

It can be written as a sum of positive squares in 4 ways, for example, as 4955076 + 296115264 = 2226^2 + 17208^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46135 + ... + 52254.

It is an arithmetic number, because the mean of its divisors is an integer number (13430235).

Almost surely, 2301070340 is an apocalyptic number.

301070340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301070340 is an abundant number, since it is smaller than the sum of its proper divisors (665906580).

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

301070340 is a wasteful number, since it uses less digits than its factorization.

301070340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98421 (or 98416 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 301070340 is about 17351.3786195795. The cubic root of 301070340 is about 670.2281394315.

The spelling of 301070340 in words is "three hundred one million, seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 98389 196778 295167 393556 491945 590334 885501 983890 1180668 1475835 1672613 1771002 1967780 2951670 3345226 3542004 4427505 5017839 5903340 6690452 8363065 8855010 10035678 15053517 16726130 17710020 20071356 25089195 30107034 33452260 50178390 60214068 75267585 100356780 150535170 301070340