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342167046 = 231337532237
BaseRepresentation
bin10100011001010…
…000111000000110
3212211211212221120
4110121100320012
51200043321141
653541454410
711323241364
oct2431207006
9784755846
10342167046
11166165191
1296711406
1355b72b10
143362c634
152008cc66
hex14650e06

342167046 has 64 divisors (see below), whose sum is σ = 771519168. Its totient is φ = 100459008.

The previous prime is 342167011. The next prime is 342167047. The reversal of 342167046 is 640761243.

It is a happy number.

It is a super-2 number, since 2×3421670462 = 234156574736732232, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 342166998 and 342167016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342167047) 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 31 ways as a sum of consecutive naturals, for example, 151840 + ... + 154076.

It is an arithmetic number, because the mean of its divisors is an integer number (12054987).

Almost surely, 2342167046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342167046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385759584).

342167046 is an abundant number, since it is smaller than the sum of its proper divisors (429352122).

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

342167046 is a wasteful number, since it uses less digits than its factorization.

342167046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 342167046 is about 18497.7578641305. The cubic root of 342167046 is about 699.4329053265.

The spelling of 342167046 in words is "three hundred forty-two million, one hundred sixty-seven thousand, forty-six".

Divisors: 1 2 3 6 13 26 37 39 53 74 78 106 111 159 222 318 481 689 962 1378 1443 1961 2067 2237 2886 3922 4134 4474 5883 6711 11766 13422 25493 29081 50986 58162 76479 82769 87243 118561 152958 165538 174486 237122 248307 355683 496614 711366 1075997 1541293 2151994 3082586 3227991 4386757 4623879 6455982 8773514 9247758 13160271 26320542 57027841 114055682 171083523 342167046