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340300824 = 23323631977
BaseRepresentation
bin10100010010001…
…001010000011000
3212201100001222020
4110102021100120
51144104111244
653433454440
711301336453
oct2422112030
9781301866
10340300824
11165100056
1295b71420
135566b546
14332a449a
151ed1ed19
hex14489418

340300824 has 64 divisors (see below), whose sum is σ = 890058240. Its totient is φ = 108218880.

The previous prime is 340300823. The next prime is 340300837. The reversal of 340300824 is 428003043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 340300794 and 340300803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340300823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347824 + ... + 348800.

It is an arithmetic number, because the mean of its divisors is an integer number (13907160).

Almost surely, 2340300824 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 340300824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445029120).

340300824 is an abundant number, since it is smaller than the sum of its proper divisors (549757416).

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

340300824 is a wasteful number, since it uses less digits than its factorization.

340300824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 340300824 is about 18447.2443470563. The cubic root of 340300824 is about 698.1589882030.

Adding to 340300824 its reverse (428003043), we get a palindrome (768303867).

The spelling of 340300824 in words is "three hundred forty million, three hundred thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 631 977 1262 1893 1954 2524 2931 3786 3908 5048 5862 7572 7816 11724 14513 15144 22471 23448 29026 43539 44942 58052 67413 87078 89884 116104 134826 174156 179768 269652 348312 539304 616487 1232974 1849461 2465948 3698922 4931896 7397844 14179201 14795688 28358402 42537603 56716804 85075206 113433608 170150412 340300824