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234704000 = 275314669
BaseRepresentation
bin11011111110101…
…00110010000000
3121100122012100202
431333110302000
5440041012000
635142304332
75546644136
oct1577246200
9540565322
10234704000
11110536653
12667280a8
133981840b
1423257756
1515911dd5
hexdfd4c80

234704000 has 64 divisors (see below), whose sum is σ = 583572600. Its totient is φ = 93875200.

The previous prime is 234703999. The next prime is 234704009. The reversal of 234704000 is 407432.

It is a happy number.

234704000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 85082176 + 149621824 = 9224^2 + 12232^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (234704009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8666 + ... + 23334.

Almost surely, 2234704000 is an apocalyptic number.

234704000 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 234704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291786300).

234704000 is an abundant number, since it is smaller than the sum of its proper divisors (348868600).

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

234704000 is an equidigital number, since it uses as much as digits as its factorization.

234704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14698 (or 14676 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 234704000 is about 15320.0522192322. The cubic root of 234704000 is about 616.8413757072.

The spelling of 234704000 in words is "two hundred thirty-four million, seven hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 14669 16000 29338 58676 73345 117352 146690 234704 293380 366725 469408 586760 733450 938816 1173520 1466900 1833625 1877632 2347040 2933800 3667250 4694080 5867600 7334500 9388160 11735200 14669000 23470400 29338000 46940800 58676000 117352000 234704000