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342311400 = 23335263391
BaseRepresentation
bin10100011001110…
…100000111101000
3212212010012222000
4110121310013220
51200112431100
653544531000
711324412264
oct2431640750
9785105860
10342311400
11166253692
1296780a60
1355bc3732
14336690a4
15200ba900
hex146741e8

342311400 has 96 divisors (see below), whose sum is σ = 1179091200. Its totient is φ = 91281600.

The previous prime is 342311327. The next prime is 342311441. The reversal of 342311400 is 4113243.

342311400 is a `hidden beast` number, since 34 + 231 + 1 + 400 = 666.

It is a super-3 number, since 3×3423114003 (a number of 27 digits) contains 333 as substring.

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, 26296 + ... + 37095.

It is an arithmetic number, because the mean of its divisors is an integer number (12282200).

Almost surely, 2342311400 is an apocalyptic number.

342311400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342311400 is an abundant number, since it is smaller than the sum of its proper divisors (836779800).

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

342311400 is a wasteful number, since it uses less digits than its factorization.

342311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63416 (or 63401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342311400 is about 18501.6593850390. The cubic root of 342311400 is about 699.5312508019.

Adding to 342311400 its reverse (4113243), we get a palindrome (346424643).

The spelling of 342311400 in words is "three hundred forty-two million, three hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 63391 126782 190173 253564 316955 380346 507128 570519 633910 760692 950865 1141038 1267820 1521384 1584775 1711557 1901730 2282076 2535640 2852595 3169550 3423114 3803460 4564152 4754325 5705190 6339100 6846228 7606920 8557785 9508650 11410380 12678200 13692456 14262975 17115570 19017300 22820760 28525950 34231140 38034600 42788925 57051900 68462280 85577850 114103800 171155700 342311400