Search a number
-
+
330983168 = 287389199
BaseRepresentation
bin10011101110100…
…110011100000000
3212001210200112212
4103232212130000
51134212430133
652502041252
711126211335
oct2356463400
9761720485
10330983168
1115a91660a
1292a19228
1353758439
1431d5a98c
151e0ce148
hex13ba6700

330983168 has 72 divisors (see below), whose sum is σ = 680652000. Its totient is φ = 160579584.

The previous prime is 330983153. The next prime is 330983171. The reversal of 330983168 is 861389033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1663133 + ... + 1663331.

It is an arithmetic number, because the mean of its divisors is an integer number (9453500).

Almost surely, 2330983168 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 330983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340326000).

330983168 is an abundant number, since it is smaller than the sum of its proper divisors (349668832).

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

330983168 is an equidigital number, since it uses as much as digits as its factorization.

330983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 330983168 is about 18192.9428075834. The cubic root of 330983168 is about 691.7279160224.

The spelling of 330983168 in words is "three hundred thirty million, nine hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 73 89 128 146 178 199 256 292 356 398 584 712 796 1168 1424 1592 2336 2848 3184 4672 5696 6368 6497 9344 11392 12736 12994 14527 17711 18688 22784 25472 25988 29054 35422 50944 51976 58108 70844 103952 116216 141688 207904 232432 283376 415808 464864 566752 831616 929728 1133504 1292903 1663232 1859456 2267008 2585806 3718912 4534016 5171612 10343224 20686448 41372896 82745792 165491584 330983168