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34212800 = 265221383
BaseRepresentation
bin1000001010000…
…0101111000000
32101101012010202
42002200233000
532224302200
63221144332
7563542526
oct202405700
971335122
1034212800
1118348646
12b55b0a8
13711b67b
144788316
15300c1d5
hex20a0bc0

34212800 has 42 divisors (see below), whose sum is σ = 84188808. Its totient is φ = 13684480.

The previous prime is 34212781. The next prime is 34212803. The reversal of 34212800 is 821243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34212803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9092 + ... + 12291.

Almost surely, 234212800 is an apocalyptic number.

It is an amenable number.

34212800 is an abundant number, since it is smaller than the sum of its proper divisors (49976008).

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

34212800 is a wasteful number, since it uses less digits than its factorization.

34212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21405 (or 21390 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 34212800 is about 5849.1708814156. The cubic root of 34212800 is about 324.6356469082.

The spelling of 34212800 in words is "thirty-four million, two hundred twelve thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 21383 42766 85532 106915 171064 213830 342128 427660 534575 684256 855320 1069150 1368512 1710640 2138300 3421280 4276600 6842560 8553200 17106400 34212800