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340414431 = 37194120809
BaseRepresentation
bin10100010010100…
…100111111011111
3212201112211210220
4110102210333133
51144121230211
653440132423
711302321620
oct2422447737
9781484726
10340414431
11165178445
1296007113
13556ab176
14332d3a47
151ed43806
hex144a4fdf

340414431 has 32 divisors (see below), whose sum is σ = 559372800. Its totient is φ = 179781120.

The previous prime is 340414429. The next prime is 340414433. The reversal of 340414431 is 134414043.

It is an interprime number because it is at equal distance from previous prime (340414429) and next prime (340414433).

It is not a de Polignac number, because 340414431 - 21 = 340414429 is a prime.

It is a super-2 number, since 2×3404144312 = 231763969666107522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340414433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5955 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (17480400).

Almost surely, 2340414431 is an apocalyptic number.

340414431 is a deficient number, since it is larger than the sum of its proper divisors (218958369).

340414431 is a wasteful number, since it uses less digits than its factorization.

340414431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20879.

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

The square root of 340414431 is about 18450.3233305002. The cubic root of 340414431 is about 698.2366713566.

Adding to 340414431 its reverse (134414043), we get a palindrome (474828474).

The spelling of 340414431 in words is "three hundred forty million, four hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 7 19 21 41 57 123 133 287 399 779 861 2337 5453 16359 20809 62427 145663 395371 436989 853169 1186113 2559507 2767597 5972183 8302791 16210211 17916549 48630633 113471477 340414431