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340541424 = 24324321279
BaseRepresentation
bin10100010011000…
…011111111110000
3212201210022000100
4110103003333300
51144134311144
653442552400
711303361066
oct2423037760
9781708010
10340541424
111652548a3
1296068700
1355723c02
1433328036
151ed6b269
hex144c3ff0

340541424 has 90 divisors (see below), whose sum is σ = 976485120. Its totient is φ = 110787264.

The previous prime is 340541413. The next prime is 340541431. The reversal of 340541424 is 424145043.

It is a happy number.

It is a super-2 number, since 2×3405414242 = 231936922919895552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 265617 + ... + 266895.

Almost surely, 2340541424 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 340541424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488242560).

340541424 is an abundant number, since it is smaller than the sum of its proper divisors (635943696).

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

340541424 is a wasteful number, since it uses less digits than its factorization.

340541424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 340541424 is about 18453.7644939996. The cubic root of 340541424 is about 698.3234872467.

Adding to 340541424 its reverse (424145043), we get a palindrome (764686467).

The spelling of 340541424 in words is "three hundred forty million, five hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1279 1548 1849 2064 2558 3096 3698 3837 5116 5547 6192 7396 7674 10232 11094 11511 14792 15348 16641 20464 22188 23022 29584 30696 33282 44376 46044 54997 61392 66564 88752 92088 109994 133128 164991 184176 219988 266256 329982 439976 494973 659964 879952 989946 1319928 1979892 2364871 2639856 3959784 4729742 7094613 7919568 9459484 14189226 18918968 21283839 28378452 37837936 42567678 56756904 85135356 113513808 170270712 340541424