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335668968 = 233329411307
BaseRepresentation
bin10100000000011…
…110011011101000
3212101121202021000
4110000132123220
51141412401333
653150315000
711214065505
oct2400363350
9771552230
10335668968
11162527078
12944b8a60
13547091bb
143281a4ac
151e707713
hex1401e6e8

335668968 has 128 divisors (see below), whose sum is σ = 988848000. Its totient is φ = 105315840.

The previous prime is 335668937. The next prime is 335668973. The reversal of 335668968 is 869866533.

335668968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3356689682 = 225347312156370048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256171 + ... + 257477.

It is an arithmetic number, because the mean of its divisors is an integer number (7725375).

Almost surely, 2335668968 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 335668968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494424000).

335668968 is an abundant number, since it is smaller than the sum of its proper divisors (653179032).

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

335668968 is a wasteful number, since it uses less digits than its factorization.

335668968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1382 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 335668968 is about 18321.2709166149. The cubic root of 335668968 is about 694.9769452180.

The spelling of 335668968 in words is "three hundred thirty-five million, six hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 41 54 58 72 82 87 108 116 123 164 174 216 232 246 261 328 348 369 492 522 696 738 783 984 1044 1107 1189 1307 1476 1566 2088 2214 2378 2614 2952 3132 3567 3921 4428 4756 5228 6264 7134 7842 8856 9512 10456 10701 11763 14268 15684 21402 23526 28536 31368 32103 35289 37903 42804 47052 53587 64206 70578 75806 85608 94104 107174 113709 128412 141156 151612 160761 214348 227418 256824 282312 303224 321522 341127 428696 454836 482283 643044 682254 909672 964566 1023381 1286088 1364508 1446849 1554023 1929132 2046762 2729016 2893698 3108046 3858264 4093524 4662069 5787396 6216092 8187048 9324138 11574792 12432184 13986207 18648276 27972414 37296552 41958621 55944828 83917242 111889656 167834484 335668968