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234189312 = 293723947
BaseRepresentation
bin11011111010101…
…11001000000000
3121022200001100020
431331113020000
5434423024222
635123253440
75542401450
oct1575271000
9538601306
10234189312
11110214995
126651a280
1339698076
1423161d60
151585e65c
hexdf57200

234189312 has 160 divisors (see below), whose sum is σ = 744809472. Its totient is φ = 63934464.

The previous prime is 234189299. The next prime is 234189313. The reversal of 234189312 is 213981432.

It is not an unprimeable number, because it can be changed into a prime (234189313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246823 + ... + 247769.

Almost surely, 2234189312 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 234189312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372404736).

234189312 is an abundant number, since it is smaller than the sum of its proper divisors (510620160).

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

234189312 is an equidigital number, since it uses as much as digits as its factorization.

234189312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 982 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 234189312 is about 15303.2451460466. The cubic root of 234189312 is about 616.3901503232.

The spelling of 234189312 in words is "two hundred thirty-four million, one hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 512 552 644 672 736 768 896 947 966 1104 1288 1344 1472 1536 1792 1894 1932 2208 2576 2688 2841 2944 3584 3788 3864 4416 5152 5376 5682 5888 6629 7576 7728 8832 10304 10752 11364 11776 13258 15152 15456 17664 19887 20608 21781 22728 26516 30304 30912 35328 39774 41216 43562 45456 53032 60608 61824 65343 79548 82432 87124 90912 106064 121216 123648 130686 152467 159096 174248 181824 212128 242432 247296 261372 304934 318192 348496 363648 424256 457401 484864 522744 609868 636384 696992 727296 848512 914802 1045488 1219736 1272768 1393984 1454592 1697024 1829604 2090976 2439472 2545536 2787968 3394048 3659208 4181952 4878944 5091072 5575936 7318416 8363904 9757888 10182144 11151872 14636832 16727808 19515776 29273664 33455616 39031552 58547328 78063104 117094656 234189312