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234377046 = 232192273019
BaseRepresentation
bin11011111100001…
…00111101010110
3121100000120212100
431332010331112
5440000031141
635131302530
75544113001
oct1576047526
9540016770
10234377046
11110332a42
12665aaa46
1339732657
14231b0538
151589a0b6
hexdf84f56

234377046 has 48 divisors (see below), whose sum is σ = 537076800. Its totient is φ = 73663344.

The previous prime is 234377009. The next prime is 234377053. The reversal of 234377046 is 640773432.

It is a happy number.

It is a super-2 number, since 2×2343770462 = 109865199383372232, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 234377046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76125 + ... + 79143.

It is an arithmetic number, because the mean of its divisors is an integer number (11189100).

Almost surely, 2234377046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234377046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268538400).

234377046 is an abundant number, since it is smaller than the sum of its proper divisors (302699754).

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

234377046 is a wasteful number, since it uses less digits than its factorization.

234377046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 234377046 is about 15309.3777143292. The cubic root of 234377046 is about 616.5548126645.

The spelling of 234377046 in words is "two hundred thirty-four million, three hundred seventy-seven thousand, forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 227 342 454 681 1362 2043 3019 4086 4313 6038 8626 9057 12939 18114 25878 27171 38817 54342 57361 77634 114722 172083 344166 516249 685313 1032498 1370626 2055939 4111878 6167817 12335634 13020947 26041894 39062841 78125682 117188523 234377046