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330304140 = 2232512714449
BaseRepresentation
bin10011101100000…
…000101010001100
3212000112012002200
4103230000222030
51134024213030
652435321500
711120352555
oct2354005214
9760465080
10330304140
1115a4a2431
1292750290
135357b34a
1431c2132c
151dee7d60
hex13b00a8c

330304140 has 72 divisors (see below), whose sum is σ = 1009881600. Its totient is φ = 87381504.

The previous prime is 330304133. The next prime is 330304153. The reversal of 330304140 is 41403033.

It is a super-2 number, since 2×3303041402 = 218201649802279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15636 + ... + 30084.

Almost surely, 2330304140 is an apocalyptic number.

330304140 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 330304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504940800).

330304140 is an abundant number, since it is smaller than the sum of its proper divisors (679577460).

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

330304140 is a wasteful number, since it uses less digits than its factorization.

330304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14591 (or 14586 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330304140 is about 18174.2713746659. The cubic root of 330304140 is about 691.2545543923.

Adding to 330304140 its reverse (41403033), we get a palindrome (371707173).

The spelling of 330304140 in words is "three hundred thirty million, three hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 14449 22860 28898 43347 57796 72245 86694 130041 144490 173388 216735 260082 288980 433470 520164 650205 866940 1300410 1835023 2600820 3670046 5505069 7340092 9175115 11010138 16515207 18350230 22020276 27525345 33030414 36700460 55050690 66060828 82576035 110101380 165152070 330304140