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340632064 = 293717981
BaseRepresentation
bin10100010011011…
…010001000000000
3212201221220100101
4110103122020000
51144200211224
653444532144
711304216253
oct2423321000
9781856311
10340632064
11165306a03
12960b1054
1355756246
143334d09a
151ed88044
hex144da200

340632064 has 40 divisors (see below), whose sum is σ = 699032268. Its totient is φ = 165703680.

The previous prime is 340632053. The next prime is 340632073. The reversal of 340632064 is 460236043.

It can be written as a sum of positive squares in 2 ways, for example, as 237406464 + 103225600 = 15408^2 + 10160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9954 + ... + 27934.

Almost surely, 2340632064 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 340632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349516134).

340632064 is an abundant number, since it is smaller than the sum of its proper divisors (358400204).

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

340632064 is an equidigital number, since it uses as much as digits as its factorization.

340632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18036 (or 18020 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 340632064 is about 18456.2201980796. The cubic root of 340632064 is about 698.3854380321.

The spelling of 340632064 in words is "three hundred forty million, six hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 4736 9472 17981 18944 35962 71924 143848 287696 575392 665297 1150784 1330594 2301568 2661188 4603136 5322376 9206272 10644752 21289504 42579008 85158016 170316032 340632064