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42344300 = 2252597177
BaseRepresentation
bin1010000110000…
…1111101101100
32221200022110102
42201201331230
541320004200
64111330232
71022630525
oct241417554
987608412
1042344300
11219a1999
1212220978
138a078cb
1458a384c
153ab66d5
hex2861f6c

42344300 has 36 divisors (see below), whose sum is σ = 93457560. Its totient is φ = 16648320.

The previous prime is 42344273. The next prime is 42344327. The reversal of 42344300 is 344324.

It is a happy number.

42344300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42344273) and next prime (42344327).

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

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, 2312 + ... + 9488.

Almost surely, 242344300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46728780).

42344300 is an abundant number, since it is smaller than the sum of its proper divisors (51113260).

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

42344300 is a wasteful number, since it uses less digits than its factorization.

42344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 42344300 is about 6507.2498031042. The cubic root of 42344300 is about 348.5499188490.

Adding to 42344300 its reverse (344324), we get a palindrome (42688624).

The spelling of 42344300 in words is "forty-two million, three hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 5900 7177 14354 28708 35885 71770 143540 179425 358850 423443 717700 846886 1693772 2117215 4234430 8468860 10586075 21172150 42344300