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330016140 = 223354713003
BaseRepresentation
bin10011101010111…
…010010110001100
3211222222120001000
4103222322112030
51133441004030
652425220300
711115043116
oct2352722614
9758876030
10330016140
1115a316013
1292631690
13534aa22c
1431b883b6
151de8c860
hex13aba58c

330016140 has 96 divisors (see below), whose sum is σ = 1048642560. Its totient is φ = 86125248.

The previous prime is 330016133. The next prime is 330016147. The reversal of 330016140 is 41610033.

It is an interprime number because it is at equal distance from previous prime (330016133) and next prime (330016147).

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

It is not an unprimeable number, because it can be changed into a prime (330016147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18879 + ... + 31881.

It is an arithmetic number, because the mean of its divisors is an integer number (10923360).

Almost surely, 2330016140 is an apocalyptic number.

330016140 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 330016140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524321280).

330016140 is an abundant number, since it is smaller than the sum of its proper divisors (718626420).

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

330016140 is a wasteful number, since it uses less digits than its factorization.

330016140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13068 (or 13060 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 330016140 is about 18166.3463580325. The cubic root of 330016140 is about 691.0535889014.

Adding to 330016140 its reverse (41610033), we get a palindrome (371626173).

The spelling of 330016140 in words is "three hundred thirty million, sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 13003 25380 26006 39009 52012 65015 78018 117027 130030 156036 195045 234054 260060 351081 390090 468108 585135 611141 702162 780180 1170270 1222282 1404324 1755405 1833423 2340540 2444564 3055705 3510810 3666846 5500269 6111410 7021620 7333692 9167115 11000538 12222820 16500807 18334230 22001076 27501345 33001614 36668460 55002690 66003228 82504035 110005380 165008070 330016140