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242836704 = 25351117167
BaseRepresentation
bin11100111100101…
…10010011100000
3121220221101100000
432132112103200
5444131233304
640032500000
76006035505
oct1636262340
9556841300
10242836704
111150908a0
12693aa600
133b405076
14243734ac
15164bb939
hexe7964e0

242836704 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 68843520.

The previous prime is 242836681. The next prime is 242836709. The reversal of 242836704 is 407638242.

242836704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242836709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454029 + ... + 1454195.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2242836704 is an apocalyptic number.

242836704 is a gapful number since it is divisible by the number (24) 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 242836704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

242836704 is an abundant number, since it is smaller than the sum of its proper divisors (589319712).

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

242836704 is a wasteful number, since it uses less digits than its factorization.

242836704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

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

The square root of 242836704 is about 15583.2186662448. The cubic root of 242836704 is about 623.8853339599.

The spelling of 242836704 in words is "two hundred forty-two million, eight hundred thirty-six thousand, seven hundred four".