Search a number
-
+
2000326968 = 2333291971621
BaseRepresentation
bin111011100111010…
…1001000100111000
312011101222010202000
41313032221010320
513044040430333
6530253541000
7100366333023
oct16716510470
95141863660
102000326968
11937150292
12479aa4760
1325b560133
1414d9421ba
15ba929713
hex773a9138

2000326968 has 128 divisors (see below), whose sum is σ = 5780808000. Its totient is φ = 640120320.

The previous prime is 2000326963. The next prime is 2000327023. The reversal of 2000326968 is 8696230002.

2000326968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000326963) 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, 1233198 + ... + 1234818.

Almost surely, 22000326968 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 2000326968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890404000).

2000326968 is an abundant number, since it is smaller than the sum of its proper divisors (3780481032).

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

2000326968 is a wasteful number, since it uses less digits than its factorization.

2000326968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2000326968 is about 44725.0150139718. The cubic root of 2000326968 is about 1259.9897051313.

It can be divided in two parts, 20003 and 26968, that added together give a triangular number (46971 = T306).

The spelling of 2000326968 in words is "two billion, three hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 197 216 232 261 348 394 522 591 696 783 788 1044 1182 1566 1576 1621 1773 2088 2364 3132 3242 3546 4728 4863 5319 5713 6264 6484 7092 9726 10638 11426 12968 14184 14589 17139 19452 21276 22852 29178 34278 38904 42552 43767 45704 47009 51417 58356 68556 87534 94018 102834 116712 137112 141027 154251 175068 188036 205668 282054 308502 319337 350136 376072 411336 423081 564108 617004 638674 846162 958011 1128216 1234008 1269243 1277348 1692324 1916022 2538486 2554696 2874033 3384648 3832044 5076972 5748066 7664088 8622099 9260773 10153944 11496132 17244198 18521546 22992264 27782319 34488396 37043092 55564638 68976792 74086184 83346957 111129276 166693914 222258552 250040871 333387828 500081742 666775656 1000163484 2000326968