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330122320 = 245111722067
BaseRepresentation
bin10011101011010…
…100010001010000
3212000011221200121
4103223110101100
51134002403240
652431400024
711115664513
oct2353242120
9760157617
10330122320
1115a388870
1292683014
1353516668
1431bb4d7a
151deae04a
hex13ad4450

330122320 has 80 divisors (see below), whose sum is σ = 886603968. Its totient is φ = 112977920.

The previous prime is 330122297. The next prime is 330122329. The reversal of 330122320 is 23221033.

330122320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 330122294 and 330122303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330122329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3927 + ... + 25993.

Almost surely, 2330122320 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 330122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443301984).

330122320 is an abundant number, since it is smaller than the sum of its proper divisors (556481648).

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

330122320 is a wasteful number, since it uses less digits than its factorization.

330122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22108 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 330122320 is about 18169.2685598513. The cubic root of 330122320 is about 691.1276945720.

Adding to 330122320 its reverse (23221033), we get a palindrome (353343353).

The spelling of 330122320 in words is "three hundred thirty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 22067 44134 88268 110335 176536 220670 242737 353072 375139 441340 485474 750278 882680 970948 1213685 1500556 1765360 1875695 1941896 2427370 3001112 3751390 3883792 4126529 4854740 6002224 7502780 8253058 9709480 15005560 16506116 19418960 20632645 30011120 33012232 41265290 66024464 82530580 165061160 330122320