Search a number
-
+
234809780 = 22517712137
BaseRepresentation
bin11011111111011…
…10100110110100
3121100211120110112
431333232212310
5440102403110
635144442152
75550564422
oct1577564664
9540746415
10234809780
111105a9077
1266779358
13398545ca
1423284112
1515933405
hexdfee9b4

234809780 has 72 divisors (see below), whose sum is σ = 533429064. Its totient is φ = 86517760.

The previous prime is 234809777. The next prime is 234809833. The reversal of 234809780 is 87908432.

It can be written as a sum of positive squares in 4 ways, for example, as 56640676 + 178169104 = 7526^2 + 13348^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1713872 + ... + 1714008.

It is an arithmetic number, because the mean of its divisors is an integer number (7408737).

Almost surely, 2234809780 is an apocalyptic number.

234809780 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 234809780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266714532).

234809780 is an abundant number, since it is smaller than the sum of its proper divisors (298619284).

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

234809780 is a wasteful number, since it uses less digits than its factorization.

234809780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 234809780 is about 15323.5041684335. The cubic root of 234809780 is about 616.9340309674.

The spelling of 234809780 in words is "two hundred thirty-four million, eight hundred nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 137 142 170 274 284 340 355 548 685 710 1207 1370 1420 2329 2414 2740 4658 4828 5041 6035 9316 9727 10082 11645 12070 19454 20164 23290 24140 25205 38908 46580 48635 50410 85697 97270 100820 165359 171394 194540 330718 342788 428485 661436 690617 826795 856970 1381234 1653590 1713940 2762468 3307180 3453085 6906170 11740489 13812340 23480978 46961956 58702445 117404890 234809780