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340000752 = 24371377839
BaseRepresentation
bin10100010000111…
…111111111110000
3212200202211100110
4110100333333300
51144020011002
653423221320
711265646560
oct2420777760
9780684313
10340000752
11164a15663
1295a47840
1355594aa0
1433226da0
151ecb0e6c
hex1443fff0

340000752 has 80 divisors (see below), whose sum is σ = 1081041920. Its totient is φ = 89669376.

The previous prime is 340000729. The next prime is 340000769. The reversal of 340000752 is 257000043.

It is a happy number.

340000752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3400007522 = 231201022721131008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34552 + ... + 43287.

It is an arithmetic number, because the mean of its divisors is an integer number (13513024).

Almost surely, 2340000752 is an apocalyptic number.

It is an amenable number.

340000752 is an abundant number, since it is smaller than the sum of its proper divisors (741041168).

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

340000752 is a wasteful number, since it uses less digits than its factorization.

340000752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77870 (or 77864 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 340000752 is about 18439.1093060375. The cubic root of 340000752 is about 697.9537192599.

Adding to 340000752 its reverse (257000043), we get a palindrome (597000795).

The spelling of 340000752 in words is "three hundred forty million, seven hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 77839 155678 233517 311356 467034 544873 622712 934068 1011907 1089746 1245424 1634619 1868136 2023814 2179492 3035721 3269238 3736272 4047628 4358984 6071442 6538476 7083349 8095256 8717968 12142884 13076952 14166698 16190512 21250047 24285768 26153904 28333396 42500094 48571536 56666792 85000188 113333584 170000376 340000752