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340220430 = 232511401857
BaseRepresentation
bin10100010001110…
…101101000001110
3212201011222200200
4110101311220032
51144044023210
653432034330
711300553204
oct2421655016
9781158620
10340220430
11165055710
1295b329a6
1355640a84
1433283074
151ed060c0
hex14475a0e

340220430 has 96 divisors (see below), whose sum is σ = 968524128. Its totient is φ = 82176000.

The previous prime is 340220417. The next prime is 340220437. The reversal of 340220430 is 34022043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340220437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396562 + ... + 397418.

It is an arithmetic number, because the mean of its divisors is an integer number (10088793).

Almost surely, 2340220430 is an apocalyptic number.

340220430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340220430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484262064).

340220430 is an abundant number, since it is smaller than the sum of its proper divisors (628303698).

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

340220430 is a wasteful number, since it uses less digits than its factorization.

340220430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 340220430 is about 18445.0651937042. The cubic root of 340220430 is about 698.1040052681.

Adding to 340220430 its reverse (34022043), we get a palindrome (374242473).

It can be divided in two parts, 3402 and 20430, that added together give a palindrome (23832).

The spelling of 340220430 in words is "three hundred forty million, two hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 401 495 802 857 990 1203 1714 2005 2406 2571 3609 4010 4285 4411 5142 6015 7218 7713 8570 8822 9427 12030 12855 13233 15426 18045 18854 22055 25710 26466 28281 36090 38565 39699 44110 47135 56562 66165 77130 79398 84843 94270 132330 141405 169686 198495 282810 343657 396990 424215 687314 848430 1030971 1718285 2061942 3092913 3436570 3780227 5154855 6185826 7560454 10309710 11340681 15464565 18901135 22681362 30929130 34022043 37802270 56703405 68044086 113406810 170110215 340220430