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340076352 = 26371123003
BaseRepresentation
bin10100010001010…
…010011101000000
3212200220200001110
4110101102131000
51144024420402
653425003320
711266413150
oct2421223500
9780820043
10340076352
11164a67440
1295a83540
13555c0315
1433246760
151ecc856c
hex14452740

340076352 has 112 divisors (see below), whose sum is σ = 1121859072. Its totient is φ = 88327680.

The previous prime is 340076329. The next prime is 340076423. The reversal of 340076352 is 253670043.

It is a tau number, because it is divible by the number of its divisors (112).

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, 3283 + ... + 26285.

Almost surely, 2340076352 is an apocalyptic number.

340076352 is a gapful number since it is divisible by the number (32) 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 340076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560929536).

340076352 is an abundant number, since it is smaller than the sum of its proper divisors (781782720).

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

340076352 is a wasteful number, since it uses less digits than its factorization.

340076352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23036 (or 23026 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 340076352 is about 18441.1591826544. The cubic root of 340076352 is about 698.0054459993.

The spelling of 340076352 in words is "three hundred forty million, seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 23003 46006 69009 92012 138018 161021 184024 253033 276036 322042 368048 483063 506066 552072 644084 736096 759099 966126 1012132 1104144 1288168 1472192 1518198 1771231 1932252 2024264 2208288 2576336 3036396 3542462 3864504 4048528 4416576 5152672 5313693 6072792 7084924 7729008 8097056 10305344 10627386 12145584 14169848 15458016 16194112 21254772 24291168 28339696 30916032 42509544 48582336 56679392 85019088 113358784 170038176 340076352