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42345204 = 223111492153
BaseRepresentation
bin1010000110001…
…0001011110100
32221200100200220
42201202023310
541320021304
64111334340
71022633256
oct241421364
987610626
1042345204
11219a2640
12122213b0
138a08145
1458a3cd6
153ab6ad9
hex28622f4

42345204 has 48 divisors (see below), whose sum is σ = 108561600. Its totient is φ = 12739840.

The previous prime is 42345203. The next prime is 42345223. The reversal of 42345204 is 40254324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42345203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18592 + ... + 20744.

It is an arithmetic number, because the mean of its divisors is an integer number (2261700).

Almost surely, 242345204 is an apocalyptic number.

42345204 is a gapful number since it is divisible by the number (44) 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 42345204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54280800).

42345204 is an abundant number, since it is smaller than the sum of its proper divisors (66216396).

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

42345204 is a wasteful number, since it uses less digits than its factorization.

42345204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 42345204 is about 6507.3192637214. The cubic root of 42345204 is about 348.5523992056.

Adding to 42345204 its reverse (40254324), we get a palindrome (82599528).

The spelling of 42345204 in words is "forty-two million, three hundred forty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 2153 3278 4306 4917 6459 6556 8612 9834 12918 19668 23683 25836 47366 71049 94732 142098 284196 320797 641594 962391 1283188 1924782 3528767 3849564 7057534 10586301 14115068 21172602 42345204