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234714304 = 26111013301
BaseRepresentation
bin11011111110101…
…11010011000000
3121100122201111101
431333113103000
5440041324204
635142424144
75550016156
oct1577272300
9540581441
10234714304
11110543370
1266732054
1339820006
142325b3d6
1515914ea4
hexdfd74c0

234714304 has 56 divisors (see below), whose sum is σ = 513289296. Its totient is φ = 105600000.

The previous prime is 234714283. The next prime is 234714307. The reversal of 234714304 is 403417432.

It is not an unprimeable number, because it can be changed into a prime (234714307) 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, 69454 + ... + 72754.

Almost surely, 2234714304 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 234714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256644648).

234714304 is an abundant number, since it is smaller than the sum of its proper divisors (278574992).

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

234714304 is a wasteful number, since it uses less digits than its factorization.

234714304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 234714304 is about 15320.3885068232. The cubic root of 234714304 is about 616.8504024536.

The spelling of 234714304 in words is "two hundred thirty-four million, seven hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 176 202 352 404 704 808 1111 1616 2222 3232 3301 4444 6464 6602 8888 13204 17776 26408 35552 36311 52816 71104 72622 105632 145244 211264 290488 333401 580976 666802 1161952 1333604 2323904 2667208 3667411 5334416 7334822 10668832 14669644 21337664 29339288 58678576 117357152 234714304