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330166540 = 225113747863
BaseRepresentation
bin10011101011011…
…111000100001100
3212000021012100101
4103223133010030
51134010312130
652432340444
711116240444
oct2353370414
9760235311
10330166540
1115a409010
12926a4724
1353530822
1431bc7124
151debc1ca
hex13adf10c

330166540 has 96 divisors (see below), whose sum is σ = 794271744. Its totient is φ = 114197760.

The previous prime is 330166531. The next prime is 330166589. The reversal of 330166540 is 45661033.

330166540 = T323 + T324 + ... + T1262.

It is a junction number, because it is equal to n+sod(n) for n = 330166499 and 330166508.

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, 382149 + ... + 383011.

It is an arithmetic number, because the mean of its divisors is an integer number (8273664).

Almost surely, 2330166540 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 330166540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397135872).

330166540 is an abundant number, since it is smaller than the sum of its proper divisors (464105204).

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

330166540 is a wasteful number, since it uses less digits than its factorization.

330166540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 330166540 is about 18170.4854090363. The cubic root of 330166540 is about 691.1585521262.

The spelling of 330166540 in words is "three hundred thirty million, one hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 47 55 74 94 110 148 185 188 220 235 370 407 470 517 740 814 863 940 1034 1628 1726 1739 2035 2068 2585 3452 3478 4070 4315 5170 6956 8140 8630 8695 9493 10340 17260 17390 18986 19129 31931 34780 37972 38258 40561 47465 63862 76516 81122 94930 95645 127724 159655 162244 189860 191290 202805 319310 351241 382580 405610 446171 638620 702482 811220 892342 1404964 1500757 1756205 1784684 2230855 3001514 3512410 4461710 6003028 7024820 7503785 8923420 15007570 16508327 30015140 33016654 66033308 82541635 165083270 330166540