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340654080 = 2113513853
BaseRepresentation
bin10100010011011…
…111100000000000
3212202000000112210
4110103133200000
51144201412310
653445222120
711304340404
oct2423374000
9782000483
10340654080
111653214a8
1296101940
1355763280
1433357104
151ed8e820
hex144df800

340654080 has 192 divisors, whose sum is σ = 1175035680. Its totient is φ = 83755008.

The previous prime is 340654057. The next prime is 340654087. The reversal of 340654080 is 80456043.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340654087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 398934 + ... + 399786.

Almost surely, 2340654080 is an apocalyptic number.

340654080 is a gapful number since it is divisible by the number (30) 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 340654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587517840).

340654080 is an abundant number, since it is smaller than the sum of its proper divisors (834381600).

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

340654080 is a wasteful number, since it uses less digits than its factorization.

340654080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 340654080 is about 18456.8166269268. The cubic root of 340654080 is about 698.4004839072.

The spelling of 340654080 in words is "three hundred forty million, six hundred fifty-four thousand, eighty".