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330121428 = 2237213192273
BaseRepresentation
bin10011101011010…
…100000011010100
3212000011220110120
4103223110003110
51134002341203
652431351540
711115662100
oct2353240324
9760156416
10330121428
1115a38812a
12926825b0
1353516130
1431bb4900
151deadb53
hex13ad40d4

330121428 has 144 divisors (see below), whose sum is σ = 1016205120. Its totient is φ = 82446336.

The previous prime is 330121427. The next prime is 330121439. The reversal of 330121428 is 824121033.

It is a junction number, because it is equal to n+sod(n) for n = 330121398 and 330121407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330121423) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 144100 + ... + 146372.

It is an arithmetic number, because the mean of its divisors is an integer number (7056980).

Almost surely, 2330121428 is an apocalyptic number.

330121428 is a gapful number since it is divisible by the number (38) 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 330121428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508102560).

330121428 is an abundant number, since it is smaller than the sum of its proper divisors (686083692).

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

330121428 is a wasteful number, since it uses less digits than its factorization.

330121428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 330121428 is about 18169.2440128917. The cubic root of 330121428 is about 691.1270720891.

The spelling of 330121428 in words is "three hundred thirty million, one hundred twenty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 364 399 494 532 546 588 637 741 798 931 988 1092 1274 1482 1596 1729 1862 1911 2273 2548 2793 2964 3458 3724 3822 4546 5187 5586 6819 6916 7644 9092 10374 11172 12103 13638 15911 20748 24206 27276 29549 31822 36309 43187 47733 48412 59098 63644 72618 86374 88647 95466 111377 118196 129561 145236 172748 177294 190932 206843 222754 259122 302309 334131 354588 413686 445508 518244 561431 604618 620529 668262 827372 906927 1122862 1209236 1241058 1336524 1447901 1684293 1813854 2116163 2245724 2482116 2895802 3368586 3627708 3930017 4232326 4343703 5791604 6348489 6737172 7860034 8464652 8687406 11790051 12696978 15720068 17374812 23580102 25393956 27510119 47160204 55020238 82530357 110040476 165060714 330121428