Search a number
-
+
234651648 = 215371131
BaseRepresentation
bin11011111110010…
…00000000000000
3121100112112112210
431333020000000
5440032323043
635141222120
75546335410
oct1577100000
9540475483
10234651648
11110500290
1266701940
13397ca63a
1423242640
1515901633
hexdfc8000

234651648 has 256 divisors, whose sum is σ = 805294080. Its totient is φ = 58982400.

The previous prime is 234651647. The next prime is 234651649. The reversal of 234651648 is 846156432.

It is an interprime number because it is at equal distance from previous prime (234651647) and next prime (234651649).

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×2346516482 = 110122791818231808, which contains 22 as substring.

Its product of digits (138240) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234651643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7569393 + ... + 7569423.

It is an arithmetic number, because the mean of its divisors is an integer number (3145680).

Almost surely, 2234651648 is an apocalyptic number.

234651648 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 234651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402647040).

234651648 is an abundant number, since it is smaller than the sum of its proper divisors (570642432).

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

234651648 is an equidigital number, since it uses as much as digits as its factorization.

234651648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 234651648 is about 15318.3435135787. The cubic root of 234651648 is about 616.7955090254.

The spelling of 234651648 in words is "two hundred thirty-four million, six hundred fifty-one thousand, six hundred forty-eight".