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3320331012 = 22323137191421
BaseRepresentation
bin1100010111101000…
…0011101100000100
322120101210021212200
43011322003230010
523300001043022
61305250114500
7145165230225
oct30572035404
98511707780
103320331012
111454270919
12787b7ba30
1340bb8030b
14236d8d24c
1514676bbac
hexc5e83b04

3320331012 has 144 divisors (see below), whose sum is σ = 8965791744. Its totient is φ = 1034208000.

The previous prime is 3320331011. The next prime is 3320331067. The reversal of 3320331012 is 2101330233.

3320331012 is a `hidden beast` number, since 3 + 320 + 331 + 0 + 12 = 666.

It is a super-2 number, since 2×33203310122 = 22049196058497888288, which contains 22 as substring.

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 (3320331011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7886562 + ... + 7886982.

Almost surely, 23320331012 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 3320331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482895872).

3320331012 is an abundant number, since it is smaller than the sum of its proper divisors (5645460732).

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

3320331012 is a wasteful number, since it uses less digits than its factorization.

3320331012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3320331012 is about 57622.3134905221. The cubic root of 3320331012 is about 1491.8567624544.

Adding to 3320331012 its reverse (2101330233), we get a palindrome (5421661245).

The spelling of 3320331012 in words is "three billion, three hundred twenty million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 191 222 279 333 372 382 421 444 558 573 666 764 842 1116 1146 1147 1263 1332 1684 1719 2292 2294 2526 3438 3441 3789 4588 5052 5921 6876 6882 7067 7578 10323 11842 13051 13764 14134 15156 15577 17763 20646 21201 23684 26102 28268 31154 35526 39153 41292 42402 46731 52204 53289 62308 63603 71052 78306 80411 84804 93462 106578 117459 127206 140193 156612 160822 186924 213156 219077 234918 241233 254412 280386 321644 438154 469836 482466 482887 560772 657231 723699 876308 964932 965774 1314462 1447398 1448661 1931548 1971693 2492741 2628924 2894796 2897322 2975207 3943386 4345983 4985482 5794644 5950414 7478223 7886772 8691966 8925621 9970964 11900828 14956446 17383932 17851242 22434669 26776863 29912892 35702484 44869338 53553726 89738676 92231417 107107452 184462834 276694251 368925668 553388502 830082753 1106777004 1660165506 3320331012