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234478468 = 227192319163
BaseRepresentation
bin11011111100111…
…01101110000100
3121100012201222201
431332131232010
5440011302333
635133404244
75545014460
oct1576355604
9540181881
10234478468
111103a2164
1266639684
1339769873
14231d94a0
15158ba17d
hexdf9db84

234478468 has 48 divisors (see below), whose sum is σ = 515128320. Its totient is φ = 91057824.

The previous prime is 234478463. The next prime is 234478471. The reversal of 234478468 is 864874432.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (234478463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2655 + ... + 21817.

It is an arithmetic number, because the mean of its divisors is an integer number (10731840).

Almost surely, 2234478468 is an apocalyptic number.

234478468 is a gapful number since it is divisible by the number (28) 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 234478468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257564160).

234478468 is an abundant number, since it is smaller than the sum of its proper divisors (280649852).

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

234478468 is a wasteful number, since it uses less digits than its factorization.

234478468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19216 (or 19214 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The square root of 234478468 is about 15312.6897702526. The cubic root of 234478468 is about 616.6437337791.

The spelling of 234478468 in words is "two hundred thirty-four million, four hundred seventy-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1748 3059 6118 12236 19163 38326 76652 134141 268282 364097 440749 536564 728194 881498 1456388 1762996 2548679 3085243 5097358 6170486 8374231 10194716 12340972 16748462 33496924 58619617 117239234 234478468