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234446672 = 2429975209
BaseRepresentation
bin11011111100101…
…01111101010000
3121100011010101002
431332111331100
5440004243142
635133001132
75544522665
oct1576257520
9540133332
10234446672
11110380289
12666231a8
1339758255
14231cba6c
15158b0a32
hexdf95f50

234446672 has 40 divisors (see below), whose sum is σ = 474839400. Its totient is φ = 111992832.

The previous prime is 234446657. The next prime is 234446717. The reversal of 234446672 is 276644432.

It can be written as a sum of positive squares in 4 ways, for example, as 97930816 + 136515856 = 9896^2 + 11684^2 .

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 7 ways as a sum of consecutive naturals, for example, 42404 + ... + 47612.

It is an arithmetic number, because the mean of its divisors is an integer number (11870985).

Almost surely, 2234446672 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 234446672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237419700).

234446672 is an abundant number, since it is smaller than the sum of its proper divisors (240392728).

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

234446672 is a wasteful number, since it uses less digits than its factorization.

234446672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5337 counting only the distinct ones).

The product of its digits is 193536, while the sum is 38.

The square root of 234446672 is about 15311.6515111859. The cubic root of 234446672 is about 616.6158595914.

The spelling of 234446672 in words is "two hundred thirty-four million, four hundred forty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 97 116 194 232 388 464 776 1552 2813 5209 5626 10418 11252 20836 22504 41672 45008 83344 151061 302122 505273 604244 1010546 1208488 2021092 2416976 4042184 8084368 14652917 29305834 58611668 117223336 234446672