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330229424 = 2473193167
BaseRepresentation
bin10011101011101…
…110011010110000
3212000101101121102
4103223232122300
51134014320144
652433543532
711116622000
oct2353563260
9760341542
10330229424
1115a451288
1292714ba8
1353553335
1431c02000
151ded0b4e
hex13aee6b0

330229424 has 80 divisors (see below), whose sum is σ = 785664000. Its totient is φ = 134035776.

The previous prime is 330229421. The next prime is 330229429. The reversal of 330229424 is 424922033.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (330229421) 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, 102689 + ... + 105855.

It is an arithmetic number, because the mean of its divisors is an integer number (9820800).

Almost surely, 2330229424 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 330229424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392832000).

330229424 is an abundant number, since it is smaller than the sum of its proper divisors (455434576).

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

330229424 is a wasteful number, since it uses less digits than its factorization.

330229424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 330229424 is about 18172.2157152066. The cubic root of 330229424 is about 691.2024290288.

The spelling of 330229424 in words is "three hundred thirty million, two hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 343 392 532 686 784 931 1064 1372 1862 2128 2744 3167 3724 5488 6334 6517 7448 12668 13034 14896 22169 25336 26068 44338 50672 52136 60173 88676 104272 120346 155183 177352 240692 310366 354704 421211 481384 620732 842422 962768 1086281 1241464 1684844 2172562 2482928 2948477 3369688 4345124 5896954 6739376 8690248 11793908 17380496 20639339 23587816 41278678 47175632 82557356 165114712 330229424