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1240414668 = 223333892
BaseRepresentation
bin100100111101111…
…0011100111001100
310012110001121001000
41021323303213030
510020021232133
6323030220300
742511231203
oct11173634714
93173047030
101240414668
115871aa999
122a74b4690
13169ca499c
14baa5023a
1573d70413
hex49ef39cc

1240414668 has 36 divisors (see below), whose sum is σ = 3216839080. Its totient is φ = 413349552.

The previous prime is 1240414663. The next prime is 1240414691. The reversal of 1240414668 is 8664140421.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (1240414661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364318 + ... + 367706.

Almost surely, 21240414668 is an apocalyptic number.

1240414668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1240414668 is an abundant number, since it is smaller than the sum of its proper divisors (1976424412).

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

1240414668 is an frugal number, since it uses more digits than its factorization.

1240414668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6791 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1240414668 is about 35219.5211211056. The cubic root of 1240414668 is about 1074.4568138800.

It can be divided in two parts, 12404 and 14668, that added together give a palindrome (27072).

The spelling of 1240414668 in words is "one billion, two hundred forty million, four hundred fourteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 3389 6778 10167 13556 20334 30501 40668 61002 91503 122004 183006 366012 11485321 22970642 34455963 45941284 68911926 103367889 137823852 206735778 310103667 413471556 620207334 1240414668