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340287640 = 235711176797
BaseRepresentation
bin10100010010000…
…110000010011000
3212201022101212221
4110102012002120
51144103201030
653433313424
711301253150
oct2422060230
9781271787
10340287640
111650a1160
1295b65874
1355665544
143329d760
151ed1ae7a
hex14486098

340287640 has 256 divisors, whose sum is σ = 1036385280. Its totient is φ = 97320960.

The previous prime is 340287637. The next prime is 340287641. The reversal of 340287640 is 46782043.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 340287596 and 340287605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340287641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3508072 + ... + 3508168.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2340287640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340287640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640).

340287640 is an abundant number, since it is smaller than the sum of its proper divisors (696097640).

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

340287640 is a wasteful number, since it uses less digits than its factorization.

340287640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 340287640 is about 18446.8870002502. The cubic root of 340287640 is about 698.1499720167.

The spelling of 340287640 in words is "three hundred forty million, two hundred eighty-seven thousand, six hundred forty".