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234714540 = 223523283601
BaseRepresentation
bin11011111110101…
…11010110101100
3121100122201211010
431333113112230
5440041331130
635142425220
75550016644
oct1577272654
9540581733
10234714540
11110543565
1266732210
1339820158
142325b524
15159150b0
hexdfd75ac

234714540 has 96 divisors (see below), whose sum is σ = 689342976. Its totient is φ = 59558400.

The previous prime is 234714533. The next prime is 234714541. The reversal of 234714540 is 45417432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234714498 and 234714507.

It is not an unprimeable number, because it can be changed into a prime (234714541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390240 + ... + 390840.

It is an arithmetic number, because the mean of its divisors is an integer number (7180656).

Almost surely, 2234714540 is an apocalyptic number.

234714540 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 234714540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344671488).

234714540 is an abundant number, since it is smaller than the sum of its proper divisors (454628436).

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

234714540 is a wasteful number, since it uses less digits than its factorization.

234714540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 234714540 is about 15320.3962089758. The cubic root of 234714540 is about 616.8506091967.

The spelling of 234714540 in words is "two hundred thirty-four million, seven hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 283 345 460 566 601 690 849 1132 1202 1380 1415 1698 1803 2404 2830 3005 3396 3606 4245 5660 6010 6509 7212 8490 9015 12020 13018 13823 16980 18030 19527 26036 27646 32545 36060 39054 41469 55292 65090 69115 78108 82938 97635 130180 138230 165876 170083 195270 207345 276460 340166 390540 414690 510249 680332 829380 850415 1020498 1700830 2040996 2551245 3401660 3911909 5102490 7823818 10204980 11735727 15647636 19559545 23471454 39119090 46942908 58678635 78238180 117357270 234714540