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340232928 = 25372322013
BaseRepresentation
bin10100010001111…
…000101011100000
3212201012121211120
4110101320223200
51144044423203
653432212240
711300634510
oct2421705340
9781177746
10340232928
11165064042
1295b3a080
1355646679
1433287840
151ed09b53
hex14478ae0

340232928 has 96 divisors (see below), whose sum is σ = 1065125376. Its totient is φ = 92978688.

The previous prime is 340232911. The next prime is 340232947. The reversal of 340232928 is 829232043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4450 + ... + 26462.

It is an arithmetic number, because the mean of its divisors is an integer number (11095056).

Almost surely, 2340232928 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 340232928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532562688).

340232928 is an abundant number, since it is smaller than the sum of its proper divisors (724892448).

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

340232928 is a wasteful number, since it uses less digits than its factorization.

340232928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22056 (or 22048 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 340232928 is about 18445.4039803958. The cubic root of 340232928 is about 698.1125534487.

It can be divided in two parts, 3402 and 32928, that multiplied together give a square (112021056 = 105842).

The spelling of 340232928 in words is "three hundred forty million, two hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 22013 44026 66039 88052 132078 154091 176104 264156 308182 352208 462273 506299 528312 616364 704416 924546 1012598 1056624 1232728 1518897 1849092 2025196 2113248 2465456 3037794 3544093 3698184 4050392 4930912 6075588 7088186 7396368 8100784 10632279 12151176 14176372 14792736 16201568 21264558 24302352 28352744 42529116 48604704 56705488 85058232 113410976 170116464 340232928