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335274464 = 2572375779
BaseRepresentation
bin10011111110111…
…110000111100000
3212100212201002202
4103332332013200
51141312240324
653134032332
711210533400
oct2376760740
9770781082
10335274464
11162287738
12943486a8
13545cb775
1432756800
151e67a8ae
hex13fbe1e0

335274464 has 72 divisors (see below), whose sum is σ = 788727240. Its totient is φ = 139781376.

The previous prime is 335274451. The next prime is 335274509. The reversal of 335274464 is 464472533.

It is a super-2 number, since 2×3352744642 = 224817932420974592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 55127 + ... + 60905.

It is an arithmetic number, because the mean of its divisors is an integer number (10954545).

Almost surely, 2335274464 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 335274464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394363620).

335274464 is an abundant number, since it is smaller than the sum of its proper divisors (453452776).

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

335274464 is a wasteful number, since it uses less digits than its factorization.

335274464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5825 counting only the distinct ones).

The product of its digits is 241920, while the sum is 38.

The square root of 335274464 is about 18310.5014677370. The cubic root of 335274464 is about 694.7045750258.

The spelling of 335274464 in words is "three hundred thirty-five million, two hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 392 518 592 784 1036 1184 1568 1813 2072 3626 4144 5779 7252 8288 11558 14504 23116 29008 40453 46232 58016 80906 92464 161812 184928 213823 283171 323624 427646 566342 647248 855292 1132684 1294496 1496761 1710584 2265368 2993522 3421168 4530736 5987044 6842336 9061472 10477327 11974088 20954654 23948176 41909308 47896352 83818616 167637232 335274464