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335695104 = 283416189
BaseRepresentation
bin10100000000100…
…100110100000000
3212101200002010000
4110000210310000
51141414220404
653151040000
711214234633
oct2400446400
9771602100
10335695104
11162544778
1294510000
1354718074
1432825c1a
151e710339
hex14024d00

335695104 has 90 divisors (see below), whose sum is σ = 1001043890. Its totient is φ = 111891456.

The previous prime is 335695067. The next prime is 335695111. The reversal of 335695104 is 401596533.

It can be written as a sum of positive squares in only one way, i.e., 283855104 + 51840000 = 16848^2 + 7200^2 .

It is a super-2 number, since 2×3356951042 = 225382405699141632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 12642 + ... + 28830.

Almost surely, 2335695104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335695104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500521945).

335695104 is an abundant number, since it is smaller than the sum of its proper divisors (665348786).

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

335695104 is an equidigital number, since it uses as much as digits as its factorization.

335695104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16217 (or 16194 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 335695104 is about 18321.9841720268. The cubic root of 335695104 is about 694.9949822801.

The spelling of 335695104 in words is "three hundred thirty-five million, six hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 16189 20736 32378 48567 64756 97134 129512 145701 194268 259024 291402 388536 437103 518048 582804 777072 874206 1036096 1165608 1311309 1554144 1748412 2072192 2331216 2622618 3108288 3496824 4144384 4662432 5245236 6216576 6993648 9324864 10490472 12433152 13987296 18649728 20980944 27974592 37299456 41961888 55949184 83923776 111898368 167847552 335695104