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34212400 = 245285531
BaseRepresentation
bin1000001010000…
…0101000110000
32101101011120221
42002200220300
532224244100
63221142424
7563541415
oct202405060
971334527
1034212400
1118348312
12b55aa14
13711b431
14478810c
15300c01a
hex20a0a30

34212400 has 30 divisors (see below), whose sum is σ = 82196252. Its totient is φ = 13684800.

The previous prime is 34212379. The next prime is 34212413. The reversal of 34212400 is 421243.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42366 + ... + 43165.

Almost surely, 234212400 is an apocalyptic number.

It is an amenable number.

34212400 is an abundant number, since it is smaller than the sum of its proper divisors (47983852).

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

34212400 is a wasteful number, since it uses less digits than its factorization.

34212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85549 (or 85538 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34212400 is about 5849.1366884353. The cubic root of 34212400 is about 324.6343817407.

Adding to 34212400 its reverse (421243), we get a palindrome (34633643).

The spelling of 34212400 in words is "thirty-four million, two hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 85531 171062 342124 427655 684248 855310 1368496 1710620 2138275 3421240 4276550 6842480 8553100 17106200 34212400