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340152443352 = 233217463600221
BaseRepresentation
bin1001111001100101010…
…10100110000111011000
31012111222210211111012200
410330302222212013120
521033113011141402
6420132555210200
733401203030401
oct4746252460730
91174883744180
10340152443352
11121292206287
1255b10446960
13260cb657227
141266ba729a8
158cac75921c
hex4f32aa61d8

340152443352 has 96 divisors (see below), whose sum is σ = 977545558080. Its totient is φ = 106483829760.

The previous prime is 340152443339. The next prime is 340152443417. The reversal of 340152443352 is 253344251043.

340152443352 is a `hidden beast` number, since 3 + 40 + 1 + 524 + 43 + 3 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266602 + ... + 866822.

It is an arithmetic number, because the mean of its divisors is an integer number (10182766230).

Almost surely, 2340152443352 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 340152443352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488772779040).

340152443352 is an abundant number, since it is smaller than the sum of its proper divisors (637393114728).

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

340152443352 is a wasteful number, since it uses less digits than its factorization.

340152443352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600713 (or 600706 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 340152443352 its reverse (253344251043), we get a palindrome (593496694395).

The spelling of 340152443352 in words is "three hundred forty billion, one hundred fifty-two million, four hundred forty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 463 612 926 1224 1389 1852 2778 3704 4167 5556 7871 8334 11112 15742 16668 23613 31484 33336 47226 62968 70839 94452 141678 188904 283356 566712 600221 1200442 1800663 2400884 3601326 4801768 5401989 7202652 10203757 10803978 14405304 20407514 21607956 30611271 40815028 43215912 61222542 81630056 91833813 122445084 183667626 244890168 277902323 367335252 555804646 734670504 833706969 1111609292 1667413938 2223218584 2501120907 3334827876 4724339491 5002241814 6669655752 9448678982 10004483628 14173018473 18897357964 20008967256 28346036946 37794715928 42519055419 56692073892 85038110838 113384147784 170076221676 340152443352