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1674040380 = 2235732291669
BaseRepresentation
bin110001111000111…
…1101010000111100
311022200000001200120
41203301331100330
511412023243010
6434040254540
756325052125
oct14361752074
94280001616
101674040380
11789a52351
123a8771450
13208a8a64c
1411c48904c
159be76e70
hex63c7d43c

1674040380 has 96 divisors (see below), whose sum is σ = 4775131200. Its totient is φ = 438110208.

The previous prime is 1674040339. The next prime is 1674040387. The reversal of 1674040380 is 830404761.

It is a super-2 number, since 2×16740403802 = 5604822387741088800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1674040387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002186 + ... + 1003854.

It is an arithmetic number, because the mean of its divisors is an integer number (49740950).

Almost surely, 21674040380 is an apocalyptic number.

1674040380 is a gapful number since it is divisible by the number (10) 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 1674040380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387565600).

1674040380 is an abundant number, since it is smaller than the sum of its proper divisors (3101090820).

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

1674040380 is a wasteful number, since it uses less digits than its factorization.

1674040380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1674040380 is about 40915.0385555238. The cubic root of 1674040380 is about 1187.3770299996.

The spelling of 1674040380 in words is "one billion, six hundred seventy-four million, forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 229 292 365 438 458 687 730 876 916 1095 1145 1374 1460 1669 2190 2290 2748 3338 3435 4380 4580 5007 6676 6870 8345 10014 13740 16690 16717 20028 25035 33380 33434 50070 50151 66868 83585 100140 100302 121837 167170 200604 243674 250755 334340 365511 382201 487348 501510 609185 731022 764402 1003020 1146603 1218370 1462044 1528804 1827555 1911005 2293206 2436740 3655110 3822010 4586412 5733015 7310220 7644020 11466030 22932060 27900673 55801346 83702019 111602692 139503365 167404038 279006730 334808076 418510095 558013460 837020190 1674040380