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342204000 = 2535328517
BaseRepresentation
bin10100011001011…
…001111001100000
3212211220202122020
4110121121321200
51200101012000
653542341440
711323454205
oct2431317140
9784822566
10342204000
1116618aa26
129672a880
1355b86898
143363bcac
1520098ba0
hex14659e60

342204000 has 96 divisors (see below), whose sum is σ = 1121099616. Its totient is φ = 91251200.

The previous prime is 342203969. The next prime is 342204011. The reversal of 342204000 is 402243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 2259 + ... + 26258.

It is an arithmetic number, because the mean of its divisors is an integer number (11678121).

Almost surely, 2342204000 is an apocalyptic number.

342204000 is a gapful number since it is divisible by the number (30) 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 342204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560549808).

342204000 is an abundant number, since it is smaller than the sum of its proper divisors (778895616).

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

342204000 is a wasteful number, since it uses less digits than its factorization.

342204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28545 (or 28527 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 342204000 is about 18498.7567149795. The cubic root of 342204000 is about 699.4580839768.

Adding to 342204000 its reverse (402243), we get a palindrome (342606243).

The spelling of 342204000 in words is "three hundred forty-two million, two hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 28517 57034 85551 114068 142585 171102 228136 285170 342204 427755 456272 570340 684408 712925 855510 912544 1140680 1368816 1425850 1711020 2138775 2281360 2737632 2851700 3422040 3564625 4277550 4562720 5703400 6844080 7129250 8555100 10693875 11406800 13688160 14258500 17110200 21387750 22813600 28517000 34220400 42775500 57034000 68440800 85551000 114068000 171102000 342204000