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340728576 = 283487911
BaseRepresentation
bin10100010011110…
…001101100000000
3212202010210201220
4110103301230000
51144211303301
653450555040
711305100526
oct2423615400
9782123656
10340728576
11165372471
1296138a80
135578b156
1433376316
151eda6936
hex144f1b00

340728576 has 72 divisors (see below), whose sum is σ = 909694464. Its totient is φ = 113218560.

The previous prime is 340728551. The next prime is 340728611. The reversal of 340728576 is 675827043.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 373561 + ... + 374471.

Almost surely, 2340728576 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 340728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454847232).

340728576 is an abundant number, since it is smaller than the sum of its proper divisors (568965888).

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

340728576 is an equidigital number, since it uses as much as digits as its factorization.

340728576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 340728576 is about 18458.8346327714. The cubic root of 340728576 is about 698.4513901426.

The spelling of 340728576 in words is "three hundred forty million, seven hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 487 768 911 974 1461 1822 1948 2733 2922 3644 3896 5466 5844 7288 7792 10932 11688 14576 15584 21864 23376 29152 31168 43728 46752 58304 62336 87456 93504 116608 124672 174912 187008 233216 349824 374016 443657 699648 887314 1330971 1774628 2661942 3549256 5323884 7098512 10647768 14197024 21295536 28394048 42591072 56788096 85182144 113576192 170364288 340728576