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340924086 = 233171013677
BaseRepresentation
bin10100010100100…
…001011010110110
3212202111201221000
4110110201122312
51144234032321
653455104130
711306543526
oct2424413266
9782451830
10340924086
11165496348
1296212046
1355829139
14333c7686
151ede4826
hex145216b6

340924086 has 64 divisors (see below), whose sum is σ = 810336960. Its totient is φ = 105868800.

The previous prime is 340924079. The next prime is 340924123. The reversal of 340924086 is 680429043.

It is a happy number.

340924086 is a `hidden beast` number, since 3 + 409 + 240 + 8 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 340924086.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90880 + ... + 94556.

It is an arithmetic number, because the mean of its divisors is an integer number (12661515).

Almost surely, 2340924086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340924086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405168480).

340924086 is an abundant number, since it is smaller than the sum of its proper divisors (469412874).

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

340924086 is a wasteful number, since it uses less digits than its factorization.

340924086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 340924086 is about 18464.1297114161. The cubic root of 340924086 is about 698.5849550297.

It can be divided in two parts, 3409 and 24086, that added together give a triangular number (27495 = T234).

The spelling of 340924086 in words is "three hundred forty million, nine hundred twenty-four thousand, eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 101 102 153 202 303 306 459 606 909 918 1717 1818 2727 3434 3677 5151 5454 7354 10302 11031 15453 22062 30906 33093 46359 62509 66186 92718 99279 125018 187527 198558 371377 375054 562581 742754 1114131 1125162 1687743 2228262 3342393 3375486 6313409 6684786 10027179 12626818 18940227 20054358 37880454 56820681 113641362 170462043 340924086