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312821340 = 223513401053
BaseRepresentation
bin10010101001010…
…100011001011100
3210210121222012120
4102221110121130
51120040240330
651012502540
710515636366
oct2251243134
9723558176
10312821340
11150641337
128891aa50
134ca698b0
142d78dd36
151c6e2c10
hex12a5465c

312821340 has 48 divisors (see below), whose sum is σ = 943279008. Its totient is φ = 77001984.

The previous prime is 312821329. The next prime is 312821381. The reversal of 312821340 is 43128213.

It is a self number, because there is not a number n which added to its sum of digits gives 312821340.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 199747 + ... + 201306.

It is an arithmetic number, because the mean of its divisors is an integer number (19651646).

Almost surely, 2312821340 is an apocalyptic number.

312821340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312821340 is an abundant number, since it is smaller than the sum of its proper divisors (630457668).

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

312821340 is a wasteful number, since it uses less digits than its factorization.

312821340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401078 (or 401076 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 312821340 is about 17686.7560620935. The cubic root of 312821340 is about 678.8369247227.

Adding to 312821340 its reverse (43128213), we get a palindrome (355949553).

The spelling of 312821340 in words is "three hundred twelve million, eight hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 401053 802106 1203159 1604212 2005265 2406318 4010530 4812636 5213689 6015795 8021060 10427378 12031590 15641067 20854756 24063180 26068445 31282134 52136890 62564268 78205335 104273780 156410670 312821340