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2031468408 = 2332673731129
BaseRepresentation
bin111100100010101…
…1011111101111000
312020120120021202200
41321011123331320
513130023442113
6533325230200
7101225124264
oct17105337570
95216507680
102031468408
11952790312
12488402360
13264b44818
14153b2b0a4
15bd52b873
hex7915bf78

2031468408 has 96 divisors (see below), whose sum is σ = 5603941200. Its totient is φ = 664671744.

The previous prime is 2031468407. The next prime is 2031468433. The reversal of 2031468408 is 8048641302.

2031468408 is a `hidden beast` number, since 203 + 1 + 46 + 8 + 408 = 666.

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 (2031468403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1798788 + ... + 1799916.

Almost surely, 22031468408 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 2031468408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801970600).

2031468408 is an abundant number, since it is smaller than the sum of its proper divisors (3572472792).

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

2031468408 is a wasteful number, since it uses less digits than its factorization.

2031468408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2031468408 is about 45071.8138973794. The cubic root of 2031468408 is about 1266.4946443524.

The spelling of 2031468408 in words is "two billion, thirty-one million, four hundred sixty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 373 402 536 603 746 804 1119 1129 1206 1492 1608 2238 2258 2412 2984 3357 3387 4476 4516 4824 6714 6774 8952 9032 10161 13428 13548 20322 24991 26856 27096 40644 49982 74973 75643 81288 99964 149946 151286 199928 224919 226929 299892 302572 421117 449838 453858 599784 605144 680787 842234 899676 907716 1263351 1361574 1684468 1799352 1815432 2526702 2723148 3368936 3790053 5053404 5446296 7580106 10106808 15160212 28214839 30320424 56429678 84644517 112859356 169289034 225718712 253933551 338578068 507867102 677156136 1015734204 2031468408