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340131440 = 245113071259
BaseRepresentation
bin10100010001011…
…111111001110000
3212201000110121202
4110101133321300
51144033201230
653430110332
711300032565
oct2421377160
9781013552
10340131440
11164aa4870
1295aab3a8
135560c40c
143325c86c
151ecd9a45
hex1445fe70

340131440 has 80 divisors (see below), whose sum is σ = 866194560. Its totient is φ = 123183360.

The previous prime is 340131437. The next prime is 340131443. The reversal of 340131440 is 44131043.

It is a happy number.

340131440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (340131437) and next prime (340131443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340131443) 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, 269531 + ... + 270789.

It is an arithmetic number, because the mean of its divisors is an integer number (10827432).

Almost surely, 2340131440 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 340131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433097280).

340131440 is an abundant number, since it is smaller than the sum of its proper divisors (526063120).

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

340131440 is a wasteful number, since it uses less digits than its factorization.

340131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 340131440 is about 18442.6527376080. The cubic root of 340131440 is about 698.0431332693.

Adding to 340131440 its reverse (44131043), we get a palindrome (384262483).

It can be divided in two parts, 34013 and 1440, that added together give a palindrome (35453).

The spelling of 340131440 in words is "three hundred forty million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 307 440 614 880 1228 1259 1535 2456 2518 3070 3377 4912 5036 6140 6295 6754 10072 12280 12590 13508 13849 16885 20144 24560 25180 27016 27698 33770 50360 54032 55396 67540 69245 100720 110792 135080 138490 221584 270160 276980 386513 553960 773026 1107920 1546052 1932565 3092104 3865130 4251643 6184208 7730260 8503286 15460520 17006572 21258215 30921040 34013144 42516430 68026288 85032860 170065720 340131440