Search a number
-
+
335675730 = 235134311997
BaseRepresentation
bin10100000000100…
…000000101010010
3212101122002112110
4110000200011102
51141413110410
653150410150
711214124305
oct2400400522
9771562473
10335675730
11162531165
1294500956
135470c2c0
143281cb3c
151e709720
hex14020152

335675730 has 64 divisors (see below), whose sum is σ = 870041088. Its totient is φ = 82394880.

The previous prime is 335675713. The next prime is 335675749. The reversal of 335675730 is 37576533.

It is a super-2 number, since 2×3356757302 = 225356391422065800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167092 + ... + 169088.

It is an arithmetic number, because the mean of its divisors is an integer number (13594392).

Almost surely, 2335675730 is an apocalyptic number.

335675730 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 335675730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435020544).

335675730 is an abundant number, since it is smaller than the sum of its proper divisors (534365358).

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

335675730 is a wasteful number, since it uses less digits than its factorization.

335675730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451.

The product of its (nonzero) digits is 198450, while the sum is 39.

The square root of 335675730 is about 18321.4554552852. The cubic root of 335675730 is about 694.9816119214.

The spelling of 335675730 in words is "three hundred thirty-five million, six hundred seventy-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 431 862 1293 1997 2155 2586 3994 4310 5603 5991 6465 9985 11206 11982 12930 16809 19970 25961 28015 29955 33618 51922 56030 59910 77883 84045 129805 155766 168090 259610 389415 778830 860707 1721414 2582121 4303535 5164242 8607070 11189191 12910605 22378382 25821210 33567573 55945955 67135146 111891910 167837865 335675730