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42342104 = 2371779563
BaseRepresentation
bin1010000110000…
…1011011011000
32221200012110002
42201201123120
541314421404
64111312132
71022621240
oct241413330
987605402
1042342104
11219a0282
121221b648
138a068cc
1458a2b20
153ab5c1e
hex28616d8

42342104 has 64 divisors (see below), whose sum is σ = 97459200. Its totient is φ = 16833024.

The previous prime is 42342073. The next prime is 42342133. The reversal of 42342104 is 40124324.

It is a super-2 number, since 2×423421042 = 3585707542293632, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 74927 + ... + 75489.

It is an arithmetic number, because the mean of its divisors is an integer number (1522800).

Almost surely, 242342104 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 42342104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48729600).

42342104 is an abundant number, since it is smaller than the sum of its proper divisors (55117096).

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

42342104 is a wasteful number, since it uses less digits than its factorization.

42342104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42342104 is about 6507.0810660388. The cubic root of 42342104 is about 348.5438934111.

Adding to 42342104 its reverse (40124324), we get a palindrome (82466428).

The spelling of 42342104 in words is "forty-two million, three hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 79 119 136 158 238 316 476 553 563 632 952 1106 1126 1343 2212 2252 2686 3941 4424 4504 5372 7882 9401 9571 10744 15764 18802 19142 31528 37604 38284 44477 66997 75208 76568 88954 133994 177908 267988 311339 355816 535976 622678 756109 1245356 1512218 2490712 3024436 5292763 6048872 10585526 21171052 42342104