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340320564 = 223222941281
BaseRepresentation
bin10100010010001…
…110000100110100
3212201101002001100
4110102032010310
51144110224224
653434130100
711301451143
oct2422160464
9781332040
10340320564
11165113971
1295b80930
135567751c
14332ab75a
151ed25ac9
hex1448e134

340320564 has 36 divisors (see below), whose sum is σ = 864032260. Its totient is φ = 112942080.

The previous prime is 340320559. The next prime is 340320587. The reversal of 340320564 is 465023043.

It can be written as a sum of positive squares in 2 ways, for example, as 244672164 + 95648400 = 15642^2 + 9780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3403205643 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12397 + ... + 28884.

Almost surely, 2340320564 is an apocalyptic number.

It is an amenable number.

340320564 is an abundant number, since it is smaller than the sum of its proper divisors (523711696).

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

340320564 is a wasteful number, since it uses less digits than its factorization.

340320564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41520 (or 41515 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 340320564 is about 18447.7793785594. The cubic root of 340320564 is about 698.1724874278.

The spelling of 340320564 in words is "three hundred forty million, three hundred twenty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 41281 82562 123843 165124 247686 371529 495372 743058 1486116 9453349 18906698 28360047 37813396 56720094 85080141 113440188 170160282 340320564