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234104000 = 2653132251
BaseRepresentation
bin11011111010000…
…10010011000000
3121022111201022112
431331002103000
5434412312000
635121354452
75541564644
oct1575022300
9538451275
10234104000
11110166889
1266498a28
13396682a0
142313cc24
1515844235
hexdf424c0

234104000 has 112 divisors (see below), whose sum is σ = 624632736. Its totient is φ = 86400000.

The previous prime is 234103999. The next prime is 234104009. The reversal of 234104000 is 401432.

It is not an unprimeable number, because it can be changed into a prime (234104009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102875 + ... + 105125.

It is an arithmetic number, because the mean of its divisors is an integer number (5577078).

Almost surely, 2234104000 is an apocalyptic number.

234104000 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 234104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312316368).

234104000 is an abundant number, since it is smaller than the sum of its proper divisors (390528736).

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

234104000 is a wasteful number, since it uses less digits than its factorization.

234104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 234104000 is about 15300.4575094995. The cubic root of 234104000 is about 616.3152937001.

Adding to 234104000 its reverse (401432), we get a palindrome (234505432).

The spelling of 234104000 in words is "two hundred thirty-four million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 1000 1040 1300 1600 1625 2000 2080 2251 2600 3250 4000 4160 4502 5200 6500 8000 9004 10400 11255 13000 18008 20800 22510 26000 29263 36016 45020 52000 56275 58526 72032 90040 104000 112550 117052 144064 146315 180080 225100 234104 281375 292630 360160 450200 468208 562750 585260 720320 731575 900400 936416 1125500 1170520 1463150 1800800 1872832 2251000 2341040 2926300 3601600 3657875 4502000 4682080 5852600 7315750 9004000 9364160 11705200 14631500 18008000 23410400 29263000 46820800 58526000 117052000 234104000