[go: up one dir, main page]

Search a number
-
+
330289020 = 2232543139307
BaseRepresentation
bin10011101011111…
…100111101111100
3212000111102100200
4103223330331330
51134023222040
652435123500
711120260515
oct2353747574
9760442320
10330289020
1115a492036
1292743590
13535744b9
1431c19a0c
151dee3630
hex13afcf7c

330289020 has 144 divisors (see below), whose sum is σ = 1035914880. Its totient is φ = 85131648.

The previous prime is 330288997. The next prime is 330289079. The reversal of 330289020 is 20982033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075707 + ... + 1076013.

Almost surely, 2330289020 is an apocalyptic number.

330289020 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 330289020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517957440).

330289020 is an abundant number, since it is smaller than the sum of its proper divisors (705625860).

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

330289020 is a wasteful number, since it uses less digits than its factorization.

330289020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 330289020 is about 18173.8553972458. The cubic root of 330289020 is about 691.2440066101.

The spelling of 330289020 in words is "three hundred thirty million, two hundred eighty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 139 172 180 215 258 278 307 387 417 430 516 556 614 645 695 774 834 860 921 1228 1251 1290 1390 1535 1548 1668 1842 1935 2085 2502 2580 2763 2780 3070 3684 3870 4170 4605 5004 5526 5977 6140 6255 7740 8340 9210 11052 11954 12510 13201 13815 17931 18420 23908 25020 26402 27630 29885 35862 39603 42673 52804 53793 55260 59770 66005 71724 79206 85346 89655 107586 118809 119540 128019 132010 158412 170692 179310 198015 213365 215172 237618 256038 264020 268965 358620 384057 396030 426730 475236 512076 537930 594045 640095 768114 792060 853460 1075860 1188090 1280190 1536228 1834939 1920285 2376180 2560380 3669878 3840570 5504817 7339756 7681140 9174695 11009634 16514451 18349390 22019268 27524085 33028902 36698780 55048170 66057804 82572255 110096340 165144510 330289020