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340705320 = 233510128111
BaseRepresentation
bin10100010011101…
…100000000101000
3212202002121211120
4110103230000220
51144210032240
653450255240
711304642654
oct2423540050
9782077746
10340705320
11165356a4a
1296127520
13557806a7
143336ba64
151ed9ead0
hex144ec028

340705320 has 64 divisors (see below), whose sum is σ = 1032272640. Its totient is φ = 89952000.

The previous prime is 340705273. The next prime is 340705327. The reversal of 340705320 is 23507043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (340705327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1936 + ... + 26175.

It is an arithmetic number, because the mean of its divisors is an integer number (16129260).

Almost surely, 2340705320 is an apocalyptic number.

340705320 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 340705320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516136320).

340705320 is an abundant number, since it is smaller than the sum of its proper divisors (691567320).

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

340705320 is a wasteful number, since it uses less digits than its factorization.

340705320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28226 (or 28222 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 340705320 is about 18458.2046797623. The cubic root of 340705320 is about 698.4354991410.

The spelling of 340705320 in words is "three hundred forty million, seven hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 28111 56222 84333 112444 140555 168666 224888 281110 337332 421665 562220 674664 843330 1124440 1686660 2839211 3373320 5678422 8517633 11356844 14196055 17035266 22713688 28392110 34070532 42588165 56784220 68141064 85176330 113568440 170352660 340705320