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335135430 = 232575310037
BaseRepresentation
bin10011111110011…
…100001011000110
3212100121122101100
4103332130023012
51141243313210
653131040530
711206414140
oct2376341306
9770548340
10335135430
111621a2233
12942a0146
13545803b6
143271bc90
151e64e5c0
hex13f9c2c6

335135430 has 96 divisors (see below), whose sum is σ = 1014721344. Its totient is φ = 75149568.

The previous prime is 335135417. The next prime is 335135441. The reversal of 335135430 is 34531533.

It is a happy number.

It is a super-2 number, since 2×3351354302 = 224631512882569800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335135394 and 335135403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28372 + ... + 38408.

It is an arithmetic number, because the mean of its divisors is an integer number (10570014).

Almost surely, 2335135430 is an apocalyptic number.

335135430 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 335135430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507360672).

335135430 is an abundant number, since it is smaller than the sum of its proper divisors (679585914).

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

335135430 is a wasteful number, since it uses less digits than its factorization.

335135430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 335135430 is about 18306.7045095506. The cubic root of 335135430 is about 694.6085334036.

Adding to 335135430 its reverse (34531533), we get a palindrome (369666963).

It can be divided in two parts, 3351 and 35430, that added together give a triangular number (38781 = T278).

The spelling of 335135430 in words is "three hundred thirty-five million, one hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 954 1113 1590 1855 2226 2385 3339 3710 4770 5565 6678 10037 11130 16695 20074 30111 33390 50185 60222 70259 90333 100370 140518 150555 180666 210777 301110 351295 421554 451665 531961 632331 702590 903330 1053885 1063922 1264662 1595883 2107770 2659805 3161655 3191766 3723727 4787649 5319610 6323310 7447454 7979415 9575298 11171181 15958830 18618635 22342362 23938245 33513543 37237270 47876490 55855905 67027086 111711810 167567715 335135430