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2041410312 = 2332192835273
BaseRepresentation
bin111100110101101…
…0111001100001000
312021021021101111100
41321223113030020
513140100112222
6534322301400
7101405462364
oct17153271410
95237241440
102041410312
11958360867
1248b7b7860
13266c15ac6
141551982a4
15be3424ac
hex79ad7308

2041410312 has 96 divisors (see below), whose sum is σ = 5841482400. Its totient is φ = 642256128.

The previous prime is 2041410281. The next prime is 2041410313. The reversal of 2041410312 is 2130141402.

2041410312 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 (18).

It is not an unprimeable number, because it can be changed into a prime (2041410313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384508 + ... + 389780.

It is an arithmetic number, because the mean of its divisors is an integer number (60848775).

Almost surely, 22041410312 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 2041410312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920741200).

2041410312 is an abundant number, since it is smaller than the sum of its proper divisors (3800072088).

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

2041410312 is a wasteful number, since it uses less digits than its factorization.

2041410312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2041410312 is about 45181.9688814022. The cubic root of 2041410312 is about 1268.5573367508.

Adding to 2041410312 its reverse (2130141402), we get a palindrome (4171551714).

The spelling of 2041410312 in words is "two billion, forty-one million, four hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 283 342 456 566 684 849 1132 1368 1698 2264 2547 3396 5094 5273 5377 6792 10188 10546 10754 15819 16131 20376 21092 21508 31638 32262 42184 43016 47457 48393 63276 64524 94914 96786 100187 126552 129048 189828 193572 200374 300561 379656 387144 400748 601122 801496 901683 1202244 1492259 1803366 2404488 2984518 3606732 4476777 5969036 7213464 8953554 11938072 13430331 17907108 26860662 28352921 35814216 53721324 56705842 85058763 107442648 113411684 170117526 226823368 255176289 340235052 510352578 680470104 1020705156 2041410312