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340000024 = 237213137487
BaseRepresentation
bin10100010000111…
…111110100011000
3212200202210100111
4110100333310120
51144020000044
653423214104
711265644500
oct2420776430
9780683314
10340000024
11164a15061
1295a47334
1355594660
1433226a00
151ecb0b34
hex1443fd18

340000024 has 96 divisors (see below), whose sum is σ = 806107680. Its totient is φ = 133249536.

The previous prime is 340000019. The next prime is 340000027. The reversal of 340000024 is 420000043.

340000024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 339999959 and 340000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340000027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697909 + ... + 698395.

It is an arithmetic number, because the mean of its divisors is an integer number (8396955).

Almost surely, 2340000024 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 340000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403053840).

340000024 is an abundant number, since it is smaller than the sum of its proper divisors (466107656).

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

340000024 is a wasteful number, since it uses less digits than its factorization.

340000024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 340000024 is about 18439.0895653771. The cubic root of 340000024 is about 697.9532211133.

Adding to 340000024 its reverse (420000043), we get a palindrome (760000067).

The spelling of 340000024 in words is "three hundred forty million, twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 137 182 196 274 364 392 487 548 637 728 959 974 1096 1274 1781 1918 1948 2548 3409 3562 3836 3896 5096 6331 6713 6818 7124 7672 12467 12662 13426 13636 14248 23863 24934 25324 26852 27272 44317 47726 49868 50648 53704 66719 87269 88634 95452 99736 133438 174538 177268 190904 266876 310219 349076 354536 467033 533752 620438 698152 867347 934066 1240876 1734694 1868132 2481752 3269231 3469388 3736264 6071429 6538462 6938776 12142858 13076924 24285716 26153848 42500003 48571432 85000006 170000012 340000024