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240434740 = 2257131719409
BaseRepresentation
bin11100101010010…
…11111000110100
3121202102100110101
432111023320310
5443022402430
635505203444
75646442630
oct1625137064
9552370411
10240434740
111137a01a7
1268630584
133aa739a0
1423d09dc0
1516194dca
hexe54be34

240434740 has 192 divisors, whose sum is σ = 694310400. Its totient is φ = 67682304.

The previous prime is 240434669. The next prime is 240434741. The reversal of 240434740 is 47434042.

240434740 = T66 + T67 + ... + T1129.

It is a super-4 number, since 4×2404347404 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 240434699 and 240434708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240434741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587656 + ... + 588064.

It is an arithmetic number, because the mean of its divisors is an integer number (3616200).

Almost surely, 2240434740 is an apocalyptic number.

240434740 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 240434740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347155200).

240434740 is an abundant number, since it is smaller than the sum of its proper divisors (453875660).

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

240434740 is a wasteful number, since it uses less digits than its factorization.

240434740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 240434740 is about 15505.9582096690. The cubic root of 240434740 is about 621.8215077007.

Adding to 240434740 its reverse (47434042), we get a palindrome (287868782).

The spelling of 240434740 in words is "two hundred forty million, four hundred thirty-four thousand, seven hundred forty".