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340113144 = 23372324389
BaseRepresentation
bin10100010001011…
…011011011111000
3212200222112112010
4110101123123320
51144032110034
653425445520
711266625340
oct2421333370
9780875463
10340113144
11164a92048
1295aa08a0
1355603ca7
1433255d20
151ecd43e9
hex1445b6f8

340113144 has 192 divisors, whose sum is σ = 1051142400. Its totient is φ = 89768448.

The previous prime is 340113119. The next prime is 340113149. The reversal of 340113144 is 441311043.

It is a super-3 number, since 3×3401131443 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 340113144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340113149) 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, 3821452 + ... + 3821540.

It is an arithmetic number, because the mean of its divisors is an integer number (5474700).

Almost surely, 2340113144 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 340113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525571200).

340113144 is an abundant number, since it is smaller than the sum of its proper divisors (711029256).

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

340113144 is a wasteful number, since it uses less digits than its factorization.

340113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 340113144 is about 18442.1567068497. The cubic root of 340113144 is about 698.0306169059.

Adding to 340113144 its reverse (441311043), we get a palindrome (781424187).

The spelling of 340113144 in words is "three hundred forty million, one hundred thirteen thousand, one hundred forty-four".