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240313416 = 23377120147
BaseRepresentation
bin11100101001011…
…10010001001000
3121202012012000220
432110232101020
5443010012131
635502430040
75645426130
oct1624562110
9552165026
10240313416
11113718032
1268592320
133aa306b5
1423cb7ac0
151616de96
hexe52e448

240313416 has 64 divisors (see below), whose sum is σ = 696314880. Its totient is φ = 67690560.

The previous prime is 240313399. The next prime is 240313417. The reversal of 240313416 is 614313042.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (240313417) 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, 1855 + ... + 22001.

It is an arithmetic number, because the mean of its divisors is an integer number (10879920).

Almost surely, 2240313416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240313416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348157440).

240313416 is an abundant number, since it is smaller than the sum of its proper divisors (456001464).

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

240313416 is a wasteful number, since it uses less digits than its factorization.

240313416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20234 (or 20230 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 240313416 is about 15502.0455424437. The cubic root of 240313416 is about 621.7168991826.

Adding to 240313416 its reverse (614313042), we get a palindrome (854626458).

The spelling of 240313416 in words is "two hundred forty million, three hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3976 5964 11928 20147 40294 60441 80588 120882 141029 161176 241764 282058 423087 483528 564116 846174 1128232 1430437 1692348 2860874 3384696 4291311 5721748 8582622 10013059 11443496 17165244 20026118 30039177 34330488 40052236 60078354 80104472 120156708 240313416