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342121200 = 24352285101
BaseRepresentation
bin10100011001000…
…101101011110000
3212211202120001120
4110121011223300
51200040334300
653540502240
711322660621
oct2431055360
9784676046
10342121200
111661337a3
12966aa980
1355b57ca5
1433619a48
152007e3a0
hex14645af0

342121200 has 60 divisors (see below), whose sum is σ = 1095932088. Its totient is φ = 91232000.

The previous prime is 342121193. The next prime is 342121223. The reversal of 342121200 is 2121243.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 342121200.

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 11 ways as a sum of consecutive naturals, for example, 141351 + ... + 143750.

Almost surely, 2342121200 is an apocalyptic number.

342121200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342121200 is an abundant number, since it is smaller than the sum of its proper divisors (753810888).

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

342121200 is a wasteful number, since it uses less digits than its factorization.

342121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285122 (or 285111 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 342121200 is about 18496.5185913458. The cubic root of 342121200 is about 699.4016655821.

Adding to 342121200 its reverse (2121243), we get a palindrome (344242443).

The spelling of 342121200 in words is "three hundred forty-two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 285101 570202 855303 1140404 1425505 1710606 2280808 2851010 3421212 4276515 4561616 5702020 6842424 7127525 8553030 11404040 13684848 14255050 17106060 21382575 22808080 28510100 34212120 42765150 57020200 68424240 85530300 114040400 171060600 342121200