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335532420 = 223251864069
BaseRepresentation
bin10011111111111…
…101000110000100
3212101100210221200
4103333331012010
51141344014140
653143342500
711212656426
oct2377750604
9771323850
10335532420
11162443523
1294451a30
135468bcc2
14327c2816
151e6cc030
hex13ffd184

335532420 has 36 divisors (see below), whose sum is σ = 1017782220. Its totient is φ = 89475264.

The previous prime is 335532401. The next prime is 335532427. The reversal of 335532420 is 24235533.

335532420 is a `hidden beast` number, since 335 + 5 + 324 + 2 + 0 = 666.

335532420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 248819076 + 86713344 = 15774^2 + 9312^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3355324202 = 225164009742112800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335532427) 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 11 ways as a sum of consecutive naturals, for example, 931855 + ... + 932214.

Almost surely, 2335532420 is an apocalyptic number.

335532420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

335532420 is an abundant number, since it is smaller than the sum of its proper divisors (682249800).

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

335532420 is a wasteful number, since it uses less digits than its factorization.

335532420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864084 (or 1864079 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 335532420 is about 18317.5440493533. The cubic root of 335532420 is about 694.8826950372.

Adding to 335532420 its reverse (24235533), we get a palindrome (359767953).

The spelling of 335532420 in words is "three hundred thirty-five million, five hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1864069 3728138 5592207 7456276 9320345 11184414 16776621 18640690 22368828 27961035 33553242 37281380 55922070 67106484 83883105 111844140 167766210 335532420