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340240032 = 253211211509
BaseRepresentation
bin10100010001111…
…010011010100000
3212201012222120200
4110101322122200
51144100140112
653432305200
711300664306
oct2421723240
9781188520
10340240032
11165069410
1295b42200
1355649982
143328a276
151ed0bcdc
hex1447a6a0

340240032 has 144 divisors (see below), whose sum is σ = 1062603360. Its totient is φ = 102412800.

The previous prime is 340240031. The next prime is 340240073. The reversal of 340240032 is 230042043.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3402400322 = 231526558750722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 340239987 and 340240014.

It is not an unprimeable number, because it can be changed into a prime (340240031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668194 + ... + 668702.

It is an arithmetic number, because the mean of its divisors is an integer number (7379190).

Almost surely, 2340240032 is an apocalyptic number.

340240032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531301680).

340240032 is an abundant number, since it is smaller than the sum of its proper divisors (722363328).

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

340240032 is a wasteful number, since it uses less digits than its factorization.

340240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 340240032 is about 18445.5965476858. The cubic root of 340240032 is about 698.1174122348.

Adding to 340240032 its reverse (230042043), we get a palindrome (570282075).

It can be divided in two parts, 3402 and 40032, that added together give a palindrome (43434).

The spelling of 340240032 in words is "three hundred forty million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 211 264 288 352 396 422 509 528 633 792 844 1018 1056 1266 1527 1584 1688 1899 2036 2321 2532 3054 3168 3376 3798 4072 4581 4642 5064 5599 6108 6752 6963 7596 8144 9162 9284 10128 11198 12216 13926 15192 16288 16797 18324 18568 20256 20889 22396 24432 27852 30384 33594 36648 37136 41778 44792 48864 50391 55704 60768 67188 73296 74272 83556 89584 100782 107399 111408 134376 146592 167112 179168 201564 214798 222816 268752 322197 334224 403128 429596 537504 644394 668448 806256 859192 966591 1181389 1288788 1612512 1718384 1933182 2362778 2577576 3436768 3544167 3866364 4725556 5155152 7088334 7732728 9451112 10310304 10632501 14176668 15465456 18902224 21265002 28353336 30930912 37804448 42530004 56706672 85060008 113413344 170120016 340240032