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330243144 = 2337411521
BaseRepresentation
bin10011101011110…
…001110001001000
3212000102002102120
4103223301301020
51134020240034
652434131240
711120010000
oct2353616110
9760362376
10330243144
1115a460620
1292720b20
135355965a
1431c07000
151ded4c49
hex13af1c48

330243144 has 160 divisors (see below), whose sum is σ = 1052727840. Its totient is φ = 85612800.

The previous prime is 330243107. The next prime is 330243181. The reversal of 330243144 is 441342033.

It is an interprime number because it is at equal distance from previous prime (330243107) and next prime (330243181).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 633604 + ... + 634124.

It is an arithmetic number, because the mean of its divisors is an integer number (6579549).

Almost surely, 2330243144 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 330243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526363920).

330243144 is an abundant number, since it is smaller than the sum of its proper divisors (722484696).

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

330243144 is a wasteful number, since it uses less digits than its factorization.

330243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 330243144 is about 18172.5932106565. The cubic root of 330243144 is about 691.2120013295.

Adding to 330243144 its reverse (441342033), we get a palindrome (771585177).

The spelling of 330243144 in words is "three hundred thirty million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 521 539 588 616 686 924 1029 1042 1078 1176 1372 1563 1617 1848 2058 2084 2156 2401 2744 3126 3234 3647 3773 4116 4168 4312 4802 5731 6252 6468 7203 7294 7546 8232 9604 10941 11319 11462 12504 12936 14406 14588 15092 17193 19208 21882 22638 22924 25529 26411 28812 29176 30184 34386 40117 43764 45276 45848 51058 52822 57624 68772 76587 79233 80234 87528 90552 102116 105644 120351 137544 153174 158466 160468 178703 204232 211288 240702 280819 306348 316932 320936 357406 481404 536109 561638 612696 633864 714812 842457 962808 1072218 1123276 1250921 1429624 1684914 1965733 2144436 2246552 2501842 3369828 3752763 3931466 4288872 5003684 5897199 6739656 7505526 7862932 10007368 11794398 13760131 15011052 15725864 23588796 27520262 30022104 41280393 47177592 55040524 82560786 110081048 165121572 330243144