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234749256 = 233719251293
BaseRepresentation
bin11011111110111…
…11110101001000
3121100201111102220
431333133311020
5440043434011
635143254040
75550223110
oct1577376510
9540644386
10234749256
11110567655
126674a320
1339832bb1
142326a040
1515920506
hexdfdfd48

234749256 has 128 divisors (see below), whose sum is σ = 711244800. Its totient is φ = 63072000.

The previous prime is 234749233. The next prime is 234749261. The reversal of 234749256 is 652947432.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801046 + ... + 801338.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2234749256 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 234749256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

234749256 is an abundant number, since it is smaller than the sum of its proper divisors (476495544).

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

234749256 is a wasteful number, since it uses less digits than its factorization.

234749256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 234749256 is about 15321.5291665029. The cubic root of 234749256 is about 616.8810199388.

The spelling of 234749256 in words is "two hundred thirty-four million, seven hundred forty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 251 266 293 399 456 502 532 586 753 798 879 1004 1064 1172 1506 1596 1757 1758 2008 2051 2344 3012 3192 3514 3516 4102 4769 5271 5567 6024 6153 7028 7032 8204 9538 10542 11134 12306 14056 14307 16408 16701 19076 21084 22268 24612 28614 33383 33402 38152 38969 42168 44536 49224 57228 66766 66804 73543 77938 100149 114456 116907 133532 133608 147086 155876 200298 220629 233814 267064 294172 311752 400596 441258 467628 514801 588344 801192 882516 935256 1029602 1397317 1544403 1765032 2059204 2794634 3088806 4118408 4191951 5589268 6177612 8383902 9781219 11178536 12355224 16767804 19562438 29343657 33535608 39124876 58687314 78249752 117374628 234749256