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340342632 = 23327296469
BaseRepresentation
bin10100010010010…
…011011101101000
3212201102012022200
4110102103131220
51144111431012
653434420200
711301602400
oct2422233550
9781365280
10340342632
11165129503
1295b91660
1355684596
14332b5800
151ed2c3dc
hex14493768

340342632 has 72 divisors (see below), whose sum is σ = 1072264050. Its totient is φ = 97239744.

The previous prime is 340342631. The next prime is 340342633. The reversal of 340342632 is 236243043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (340342631) and next prime (340342633).

It can be written as a sum of positive squares in only one way, i.e., 321628356 + 18714276 = 17934^2 + 4326^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 340342596 and 340342605.

It is not an unprimeable number, because it can be changed into a prime (340342631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44707 + ... + 51762.

Almost surely, 2340342632 is an apocalyptic number.

It is an amenable number.

340342632 is an abundant number, since it is smaller than the sum of its proper divisors (731921418).

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

340342632 is a wasteful number, since it uses less digits than its factorization.

340342632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96495 (or 96481 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 340342632 is about 18448.3774896331. The cubic root of 340342632 is about 698.1875780405.

Adding to 340342632 its reverse (236243043), we get a palindrome (576585675).

The spelling of 340342632 in words is "three hundred forty million, three hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 96469 192938 289407 385876 578814 675283 771752 868221 1157628 1350566 1736442 2025849 2315256 2701132 3472884 4051698 4726981 5402264 6077547 6945768 8103396 9453962 12155094 14180943 16206792 18907924 24310188 28361886 37815848 42542829 48620376 56723772 85085658 113447544 170171316 340342632