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214028340 = 223523315003
BaseRepresentation
bin11001100000111…
…01000000110100
3112220201202200120
430300131000310
5414242401330
633123211540
75206132221
oct1460350064
9486652616
10214028340
11aa8a4729
125b816bb0
13354595b6
14205d4948
1513bcac10
hexcc1d034

214028340 has 96 divisors (see below), whose sum is σ = 645636096. Its totient is φ = 52821120.

The previous prime is 214028299. The next prime is 214028377. The reversal of 214028340 is 43820412.

It is a self number, because there is not a number n which added to its sum of digits gives 214028340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40279 + ... + 45281.

It is an arithmetic number, because the mean of its divisors is an integer number (6725376).

Almost surely, 2214028340 is an apocalyptic number.

214028340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214028340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322818048).

214028340 is an abundant number, since it is smaller than the sum of its proper divisors (431607756).

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

214028340 is a wasteful number, since it uses less digits than its factorization.

214028340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 214028340 is about 14629.7074475192. The cubic root of 214028340 is about 598.1688057875.

Adding to 214028340 its reverse (43820412), we get a palindrome (257848752).

The spelling of 214028340 in words is "two hundred fourteen million, twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1380 1426 1860 2139 2852 3565 4278 5003 7130 8556 10006 10695 14260 15009 20012 21390 25015 30018 42780 50030 60036 75045 100060 115069 150090 155093 230138 300180 310186 345207 460276 465279 575345 620372 690414 775465 930558 1150690 1380828 1550930 1726035 1861116 2301380 2326395 3101860 3452070 3567139 4652790 6904140 7134278 9305580 10701417 14268556 17835695 21402834 35671390 42805668 53507085 71342780 107014170 214028340