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340678968 = 233721979193
BaseRepresentation
bin10100010011100…
…101100100111000
3212202001021200120
4110103211210320
51144203211333
653445533240
711304503100
oct2423454470
9782037616
10340678968
11165339173
1296114220
13557716b6
1433362200
151ed96db3
hex144e5938

340678968 has 192 divisors, whose sum is σ = 1061568000. Its totient is φ = 90574848.

The previous prime is 340678957. The next prime is 340678973. The reversal of 340678968 is 869876043.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 340678968.

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 47 ways as a sum of consecutive naturals, for example, 1765080 + ... + 1765272.

It is an arithmetic number, because the mean of its divisors is an integer number (5529000).

Almost surely, 2340678968 is an apocalyptic number.

340678968 is a gapful number since it is divisible by the number (38) 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 340678968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530784000).

340678968 is an abundant number, since it is smaller than the sum of its proper divisors (720889032).

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

340678968 is a wasteful number, since it uses less digits than its factorization.

340678968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 340678968 is about 18457.4908370558. The cubic root of 340678968 is about 698.4174917450.

The spelling of 340678968 in words is "three hundred forty million, six hundred seventy-eight thousand, nine hundred sixty-eight".