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234728640 = 26325149547
BaseRepresentation
bin11011111110110…
…10110011000000
3121100200110011100
431333122303000
5440042304030
635143014400
75550106026
oct1577326300
9540613140
10234728640
11110553113
126673a400
13398266b3
1423262716
1515919360
hexdfdacc0

234728640 has 168 divisors, whose sum is σ = 814273200. Its totient is φ = 62060544.

The previous prime is 234728633. The next prime is 234728647. The reversal of 234728640 is 46827432.

234728640 is a `hidden beast` number, since 2 + 3 + 4 + 7 + 2 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (234728633) and next prime (234728647).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234728595 and 234728604.

It is not an unprimeable number, because it can be changed into a prime (234728647) 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, 428847 + ... + 429393.

Almost surely, 2234728640 is an apocalyptic number.

234728640 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 234728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407136600).

234728640 is an abundant number, since it is smaller than the sum of its proper divisors (579544560).

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

234728640 is a wasteful number, since it uses less digits than its factorization.

234728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 234728640 is about 15320.8563729316. The cubic root of 234728640 is about 616.8629609658.

The spelling of 234728640 in words is "two hundred thirty-four million, seven hundred twenty-eight thousand, six hundred forty".