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335426328 = 2332592812
BaseRepresentation
bin10011111111100…
…011001100011000
3212101011102102100
4103333203030120
51141332120303
653141203400
711212035216
oct2377431430
9771142370
10335426328
11162380846
1294400560
1354652923
1432795cb6
151e6aa8a3
hex13fe3318

335426328 has 72 divisors (see below), whose sum is σ = 927143100. Its totient is φ = 109522560.

The previous prime is 335426309. The next prime is 335426341. The reversal of 335426328 is 823624533.

It is a happy number.

335426328 is a `hidden beast` number, since 33 + 542 + 63 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3354263282 = 225021643031127168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 335426292 and 335426301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1193548 + ... + 1193828.

Almost surely, 2335426328 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 335426328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463571550).

335426328 is an abundant number, since it is smaller than the sum of its proper divisors (591716772).

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

335426328 is a wasteful number, since it uses less digits than its factorization.

335426328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 345 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 335426328 is about 18314.6479081636. The cubic root of 335426328 is about 694.8094489942.

The spelling of 335426328 in words is "three hundred thirty-five million, four hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 281 354 472 531 562 708 843 1062 1124 1416 1686 2124 2248 2529 3372 4248 5058 6744 10116 16579 20232 33158 49737 66316 78961 99474 132632 149211 157922 198948 236883 298422 315844 397896 473766 596844 631688 710649 947532 1193688 1421298 1895064 2842596 4658699 5685192 9317398 13976097 18634796 27952194 37269592 41928291 55904388 83856582 111808776 167713164 335426328