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1661960304 = 2432291492671
BaseRepresentation
bin110001100001111…
…1000000001110000
311021211021022221100
41203003320001300
511400430212204
6432525324400
756120300214
oct14303700160
94254238840
101661960304
11783151414
123a4706700
1320641b084
1411aa22944
159ad8ca39
hex630f8070

1661960304 has 120 divisors (see below), whose sum is σ = 4845672000. Its totient is φ = 531095040.

The previous prime is 1661960291. The next prime is 1661960347. The reversal of 1661960304 is 4030691661.

1661960304 is a `hidden beast` number, since 1 + 6 + 619 + 6 + 0 + 30 + 4 = 666.

It is a super-2 number, since 2×16619603042 = 5524224104143544832, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620889 + ... + 623559.

It is an arithmetic number, because the mean of its divisors is an integer number (40380600).

Almost surely, 21661960304 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 1661960304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422836000).

1661960304 is an abundant number, since it is smaller than the sum of its proper divisors (3183711696).

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

1661960304 is a wasteful number, since it uses less digits than its factorization.

1661960304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1661960304 is about 40767.1473615704. The cubic root of 1661960304 is about 1184.5140473931.

The spelling of 1661960304 in words is "one billion, six hundred sixty-one million, nine hundred sixty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 149 174 232 261 298 348 447 464 522 596 696 894 1044 1192 1341 1392 1788 2088 2384 2671 2682 3576 4176 4321 5342 5364 7152 8013 8642 10684 10728 12963 16026 17284 21368 21456 24039 25926 32052 34568 38889 42736 48078 51852 64104 69136 77459 77778 96156 103704 128208 154918 155556 192312 207408 232377 309836 311112 384624 397979 464754 619672 622224 697131 795958 929508 1193937 1239344 1394262 1591916 1859016 2387874 2788524 3183832 3581811 3718032 4775748 5577048 6367664 7163622 9551496 11154096 11541391 14327244 19102992 23082782 28654488 34624173 46165564 57308976 69248346 92331128 103872519 138496692 184662256 207745038 276993384 415490076 553986768 830980152 1661960304