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335392064 = 2672106949
BaseRepresentation
bin10011111111011…
…010110101000000
3212101002200102022
4103333122311000
51141330021224
653140341012
711211533300
oct2377326500
9771080368
10335392064
11162358027
12943a4768
1354640157
1432787600
151e6a065e
hex13fdad40

335392064 has 42 divisors (see below), whose sum is σ = 774211050. Its totient is φ = 143738112.

The previous prime is 335392037. The next prime is 335392067. The reversal of 335392064 is 460293533.

It can be written as a sum of positive squares in only one way, i.e., 291726400 + 43665664 = 17080^2 + 6608^2 .

It is a super-2 number, since 2×3353920642 = 224975673188360192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335392067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50339 + ... + 56610.

Almost surely, 2335392064 is an apocalyptic number.

It is an amenable number.

335392064 is an abundant number, since it is smaller than the sum of its proper divisors (438818986).

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

335392064 is a wasteful number, since it uses less digits than its factorization.

335392064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106975 (or 106958 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 35.

The square root of 335392064 is about 18313.7124581555. The cubic root of 335392064 is about 694.7857897883.

The spelling of 335392064 in words is "three hundred thirty-five million, three hundred ninety-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 106949 213898 427796 748643 855592 1497286 1711184 2994572 3422368 5240501 5989144 6844736 10481002 11978288 20962004 23956576 41924008 47913152 83848016 167696032 335392064