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340428096 = 263497677
BaseRepresentation
bin10100010010101…
…000010101000000
3212201120112120000
4110102220111000
51144122144341
653440320000
711302406511
oct2422502500
9781515500
10340428096
11165187738
1296013000
13556b4458
14332d8a08
151ed478b6
hex144a8540

340428096 has 140 divisors (see below), whose sum is σ = 1021044948. Its totient is φ = 112140288.

The previous prime is 340428079. The next prime is 340428103. The reversal of 340428096 is 690824043.

It is a happy number.

340428096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 274233600 + 66194496 = 16560^2 + 8136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 340428096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 502510 + ... + 503186.

Almost surely, 2340428096 is an apocalyptic number.

340428096 is a gapful number since it is divisible by the number (36) 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 340428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510522474).

340428096 is an abundant number, since it is smaller than the sum of its proper divisors (680616852).

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

340428096 is an equidigital number, since it uses as much as digits as its factorization.

340428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 340428096 is about 18450.6936454975. The cubic root of 340428096 is about 698.2460141611.

The spelling of 340428096 in words is "three hundred forty million, four hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 144 162 192 194 216 288 291 324 388 432 576 582 648 677 776 864 873 1164 1296 1354 1552 1728 1746 2031 2328 2592 2619 2708 3104 3492 4062 4656 5184 5238 5416 6093 6208 6984 7857 8124 9312 10476 10832 12186 13968 15714 16248 18279 18624 20952 21664 24372 27936 31428 32496 36558 41904 43328 48744 54837 55872 62856 64992 65669 73116 83808 97488 109674 125712 129984 131338 146232 167616 194976 197007 219348 251424 262676 292464 389952 394014 438696 502848 525352 584928 591021 788028 877392 1050704 1169856 1182042 1576056 1754784 1773063 2101408 2364084 3152112 3509568 3546126 4202816 4728168 5319189 6304224 7092252 9456336 10638378 12608448 14184504 18912672 21276756 28369008 37825344 42553512 56738016 85107024 113476032 170214048 340428096