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42344352 = 2532147029
BaseRepresentation
bin1010000110000…
…1111110100000
32221200022112100
42201201332200
541320004402
64111330400
71022630631
oct241417640
987608470
1042344352
11219a1a36
1212220a00
138a0793b
1458a3888
153ab671c
hex2861fa0

42344352 has 36 divisors (see below), whose sum is σ = 120417570. Its totient is φ = 14114688.

The previous prime is 42344333. The next prime is 42344381. The reversal of 42344352 is 25344324.

It can be written as a sum of positive squares in only one way, i.e., 28772496 + 13571856 = 5364^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 73227 + ... + 73802.

Almost surely, 242344352 is an apocalyptic number.

It is an amenable number.

42344352 is an abundant number, since it is smaller than the sum of its proper divisors (78073218).

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

42344352 is a wasteful number, since it uses less digits than its factorization.

42344352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147045 (or 147034 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 42344352 is about 6507.2537986466. The cubic root of 42344352 is about 348.5500615254.

Adding to 42344352 its reverse (25344324), we get a palindrome (67688676).

The spelling of 42344352 in words is "forty-two million, three hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 147029 294058 441087 588116 882174 1176232 1323261 1764348 2352464 2646522 3528696 4704928 5293044 7057392 10586088 14114784 21172176 42344352