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234160128 = 21632397
BaseRepresentation
bin11011111010100…
…00000000000000
3121022121120022100
431331100000000
5434421111003
635122510400
75542220406
oct1575200000
9538546270
10234160128
111101a4a74
1266505400
13396879b7
1423155476
1515855ba3
hexdf50000

234160128 has 102 divisors (see below), whose sum is σ = 678161354. Its totient is φ = 77856768.

The previous prime is 234160127. The next prime is 234160133. The reversal of 234160128 is 821061432.

234160128 is a `hidden beast` number, since 2 + 34 + 1 + 601 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 212926464 + 21233664 = 14592^2 + 4608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234160127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589626 + ... + 590022.

Almost surely, 2234160128 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 234160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339080677).

234160128 is an abundant number, since it is smaller than the sum of its proper divisors (444001226).

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

234160128 is an frugal number, since it uses more digits than its factorization.

234160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 234160128 is about 15302.2915930915. The cubic root of 234160128 is about 616.3645450023.

The spelling of 234160128 in words is "two hundred thirty-four million, one hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 397 512 576 768 794 1024 1152 1191 1536 1588 2048 2304 2382 3072 3176 3573 4096 4608 4764 6144 6352 7146 8192 9216 9528 12288 12704 14292 16384 18432 19056 24576 25408 28584 32768 36864 38112 49152 50816 57168 65536 73728 76224 98304 101632 114336 147456 152448 196608 203264 228672 294912 304896 406528 457344 589824 609792 813056 914688 1219584 1626112 1829376 2439168 3252224 3658752 4878336 6504448 7317504 9756672 13008896 14635008 19513344 26017792 29270016 39026688 58540032 78053376 117080064 234160128