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234035780 = 22511297997
BaseRepresentation
bin11011111001100…
…01101001000100
3121022101020201212
431330301221010
5434403121110
635120110552
75541162026
oct1574615104
9538336655
10234035780
1111011a600
1266465458
1339643214
1423122016
151582de05
hexdf31a44

234035780 has 72 divisors (see below), whose sum is σ = 546333144. Its totient is φ = 84142080.

The previous prime is 234035779. The next prime is 234035783. The reversal of 234035780 is 87530432.

It is a happy number.

234035780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53348416 + 180687364 = 7304^2 + 13442^2 .

It is not an unprimeable number, because it can be changed into a prime (234035783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234242 + ... + 235238.

Almost surely, 2234035780 is an apocalyptic number.

234035780 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 234035780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273166572).

234035780 is an abundant number, since it is smaller than the sum of its proper divisors (312297364).

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

234035780 is a wasteful number, since it uses less digits than its factorization.

234035780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 234035780 is about 15298.2280019615. The cubic root of 234035780 is about 616.2554212871.

The spelling of 234035780 in words is "two hundred thirty-four million, thirty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 121 194 220 242 388 484 485 605 970 997 1067 1210 1940 1994 2134 2420 3988 4268 4985 5335 9970 10670 10967 11737 19940 21340 21934 23474 43868 46948 54835 58685 96709 109670 117370 120637 193418 219340 234740 241274 386836 482548 483545 603185 967090 1063799 1206370 1934180 2127598 2412740 4255196 5318995 10637990 11701789 21275980 23403578 46807156 58508945 117017890 234035780