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335213664 = 25331731543
BaseRepresentation
bin10011111110101…
…111010001100000
3212100202121200220
4103332233101200
51141303314124
653132443040
711210161212
oct2376572140
9770677626
10335213664
11162245a95
1294319480
13545a9ba6
143273c5b2
151e667879
hex13faf460

335213664 has 96 divisors (see below), whose sum is σ = 921360384. Its totient is φ = 106583040.

The previous prime is 335213621. The next prime is 335213717. The reversal of 335213664 is 466312533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3352136642 = 224736401064609792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216477 + ... + 218019.

It is an arithmetic number, because the mean of its divisors is an integer number (9597504).

Almost surely, 2335213664 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 335213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460680192).

335213664 is an abundant number, since it is smaller than the sum of its proper divisors (586146720).

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

335213664 is a wasteful number, since it uses less digits than its factorization.

335213664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1652 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 335213664 is about 18308.8411430107. The cubic root of 335213664 is about 694.6625789935.

The spelling of 335213664 in words is "three hundred thirty-five million, two hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 73 93 96 124 146 186 219 248 292 372 438 496 584 744 876 992 1168 1488 1543 1752 2263 2336 2976 3086 3504 4526 4629 6172 6789 7008 9052 9258 12344 13578 18104 18516 24688 27156 36208 37032 47833 49376 54312 72416 74064 95666 108624 112639 143499 148128 191332 217248 225278 286998 337917 382664 450556 573996 675834 765328 901112 1147992 1351668 1530656 1802224 2295984 2703336 3491809 3604448 4591968 5406672 6983618 10475427 10813344 13967236 20950854 27934472 41901708 55868944 83803416 111737888 167606832 335213664