Search a number
-
+
234055984 = 241929139191
BaseRepresentation
bin11011111001101…
…10100100110000
3121022102021110011
431330312210300
5434404242414
635120344304
75541304651
oct1574664460
9538367404
10234055984
111101337a8
1266475094
133964c486
1423129528
1515834dc4
hexdf36930

234055984 has 80 divisors (see below), whose sum is σ = 499968000. Its totient is φ = 105719040.

The previous prime is 234055979. The next prime is 234056021. The reversal of 234055984 is 489550432.

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, 1225329 + ... + 1225519.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2234055984 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 234055984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

234055984 is an abundant number, since it is smaller than the sum of its proper divisors (265912016).

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

234055984 is a wasteful number, since it uses less digits than its factorization.

234055984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 234055984 is about 15298.8883256268. Note that the first 3 decimals coincide. The cubic root of 234055984 is about 616.2731542825.

The spelling of 234055984 in words is "two hundred thirty-four million, fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 139 152 191 232 278 304 382 464 551 556 764 1102 1112 1528 2204 2224 2641 3056 3629 4031 4408 5282 5539 7258 8062 8816 10564 11078 14516 16124 21128 22156 26549 29032 32248 42256 44312 53098 58064 64496 76589 88624 105241 106196 153178 210482 212392 306356 420964 424784 504431 612712 769921 841928 1008862 1225424 1539842 1683856 2017724 3079684 4035448 6159368 8070896 12318736 14628499 29256998 58513996 117027992 234055984