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234332000 = 255378369
BaseRepresentation
bin11011111011110…
…01111101100000
3121022221022001222
431331321331200
5434442111000
635130314212
75543534450
oct1575717540
9538838058
10234332000
11110302111
1266588968
1339717cb6
142319bd60
151588ba85
hexdf79f60

234332000 has 96 divisors (see below), whose sum is σ = 658082880. Its totient is φ = 80332800.

The previous prime is 234331973. The next prime is 234332023. The reversal of 234332000 is 233432.

It is a super-2 number, since 2×2343320002 = 109822972448000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234332000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23816 + ... + 32184.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2234332000 is an apocalyptic number.

234332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329041440).

234332000 is an abundant number, since it is smaller than the sum of its proper divisors (423750880).

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

234332000 is an equidigital number, since it uses as much as digits as its factorization.

234332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8401 (or 8383 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 234332000 is about 15307.9064538558. The cubic root of 234332000 is about 616.5153106341.

Adding to 234332000 its reverse (233432), we get a palindrome (234565432).

It can be divided in two parts, 2343 and 32000, that added together give a palindrome (34343).

The spelling of 234332000 in words is "two hundred thirty-four million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 8369 14000 16738 28000 33476 41845 58583 66952 83690 117166 133904 167380 209225 234332 267808 292915 334760 418450 468664 585830 669520 836900 937328 1046125 1171660 1339040 1464575 1673800 1874656 2092250 2343320 2929150 3347600 4184500 4686640 5858300 6695200 7322875 8369000 9373280 11716600 14645750 16738000 23433200 29291500 33476000 46866400 58583000 117166000 234332000