Search a number
-
+
234840320 = 28511131283
BaseRepresentation
bin11011111111101…
…10000100000000
3121100220010100122
431333312010000
5440104342240
635145235412
75551052441
oct1577660400
9540803318
10234840320
1111061a010
1266792b68
1339865490
14232912c8
151593c4b5
hexdff6100

234840320 has 144 divisors (see below), whose sum is σ = 661372992. Its totient is φ = 78766080.

The previous prime is 234840317. The next prime is 234840367. The reversal of 234840320 is 23048432.

234840320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 234840320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182399 + ... + 183681.

It is an arithmetic number, because the mean of its divisors is an integer number (4592868).

Almost surely, 2234840320 is an apocalyptic number.

234840320 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 234840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330686496).

234840320 is an abundant number, since it is smaller than the sum of its proper divisors (426532672).

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

234840320 is a wasteful number, since it uses less digits than its factorization.

234840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 234840320 is about 15324.5006443930. The cubic root of 234840320 is about 616.9607765152.

Adding to 234840320 its reverse (23048432), we get a palindrome (257888752).

The spelling of 234840320 in words is "two hundred thirty-four million, eight hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 256 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1280 1283 1408 1430 1664 1760 2080 2288 2566 2816 2860 3328 3520 4160 4576 5132 5720 6415 7040 8320 9152 10264 11440 12830 14080 14113 16640 16679 18304 20528 22880 25660 28226 33358 36608 41056 45760 51320 56452 66716 70565 82112 83395 91520 102640 112904 133432 141130 164224 166790 183040 183469 205280 225808 266864 282260 328448 333580 366938 410560 451616 533728 564520 667160 733876 821120 903232 917345 1067456 1129040 1334320 1467752 1642240 1806464 1834690 2134912 2258080 2668640 2935504 3612928 3669380 4269824 4516160 5337280 5871008 7338760 9032320 10674560 11742016 14677520 18064640 21349120 23484032 29355040 46968064 58710080 117420160 234840320