Search a number
-
+
330964980 = 223543163787
BaseRepresentation
bin10011101110100…
…001111111110100
3212001202202121020
4103232201333310
51134211334410
652501421140
711126104323
oct2356417764
9761682536
10330964980
1115a903985
1292a0a7b0
1353750088
1431d540ba
151e0c8a70
hex13ba1ff4

330964980 has 96 divisors (see below), whose sum is σ = 955282944. Its totient is φ = 85567104.

The previous prime is 330964979. The next prime is 330964987. The reversal of 330964980 is 89469033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330964987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420147 + ... + 420933.

It is an arithmetic number, because the mean of its divisors is an integer number (9950864).

Almost surely, 2330964980 is an apocalyptic number.

330964980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330964980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477641472).

330964980 is an abundant number, since it is smaller than the sum of its proper divisors (624317964).

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

330964980 is a wasteful number, since it uses less digits than its factorization.

330964980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 330964980 is about 18192.4429365602. The cubic root of 330964980 is about 691.7152453098.

The spelling of 330964980 in words is "three hundred thirty million, nine hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 163 172 215 258 326 430 489 516 645 652 787 815 860 978 1290 1574 1630 1956 2361 2445 2580 3148 3260 3935 4722 4890 7009 7870 9444 9780 11805 14018 15740 21027 23610 28036 33841 35045 42054 47220 67682 70090 84108 101523 105135 128281 135364 140180 169205 203046 210270 256562 338410 384843 406092 420540 507615 513124 641405 676820 769686 1015230 1282810 1539372 1924215 2030460 2565620 3848430 5516083 7696860 11032166 16548249 22064332 27580415 33096498 55160830 66192996 82741245 110321660 165482490 330964980