Search a number
-
+
234963456 = 293713412
BaseRepresentation
bin11100000000101…
…00001000000000
3121101010101021020
432000110020000
5440122312311
635152025440
75552104440
oct1600241000
9541111236
10234963456
111106a3582
1266832280
13398a9540
14232c4120
1515963c06
hexe014200

234963456 has 240 divisors, whose sum is σ = 789657792. Its totient is φ = 60456960.

The previous prime is 234963451. The next prime is 234963457. The reversal of 234963456 is 654369432.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234963451) 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, 5730796 + ... + 5730836.

Almost surely, 2234963456 is an apocalyptic number.

234963456 is a gapful number since it is divisible by the number (26) 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 234963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394828896).

234963456 is an abundant number, since it is smaller than the sum of its proper divisors (554694336).

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

234963456 is an equidigital number, since it uses as much as digits as its factorization.

234963456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 66 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 234963456 is about 15328.5177365589. The cubic root of 234963456 is about 617.0685899264.

The spelling of 234963456 in words is "two hundred thirty-four million, nine hundred sixty-three thousand, four hundred fifty-six".