Search a number
-
+
3105303040 = 29571491163
BaseRepresentation
bin1011100100010111…
…0010101000000000
322000102011201221201
42321011302220000
522324424144130
61232045230544
7136644432430
oct27105625000
98012151851
103105303040
111353954154
12727b62454
133a6463a28
142165b82c0
15132944bca
hexb9172a00

3105303040 has 160 divisors (see below), whose sum is σ = 8573558400. Its totient is φ = 1056620544.

The previous prime is 3105303037. The next prime is 3105303049. The reversal of 3105303040 is 403035013.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 3105302999 and 3105303017.

It is not an unprimeable number, because it can be changed into a prime (3105303049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2669499 + ... + 2670661.

It is an arithmetic number, because the mean of its divisors is an integer number (53584740).

Almost surely, 23105303040 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 3105303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286779200).

3105303040 is an abundant number, since it is smaller than the sum of its proper divisors (5468255360).

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

3105303040 is a wasteful number, since it uses less digits than its factorization.

3105303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 3105303040 is about 55725.2459842036. The cubic root of 3105303040 is about 1458.9306988661.

Adding to 3105303040 its reverse (403035013), we get a palindrome (3508338053).

The spelling of 3105303040 in words is "three billion, one hundred five million, three hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 149 160 224 256 280 298 320 448 512 560 596 640 745 896 1043 1120 1163 1192 1280 1490 1792 2086 2240 2326 2384 2560 2980 3584 4172 4480 4652 4768 5215 5815 5960 8141 8344 8960 9304 9536 10430 11630 11920 16282 16688 17920 18608 19072 20860 23260 23840 32564 33376 37216 38144 40705 41720 46520 47680 65128 66752 74432 76288 81410 83440 93040 95360 130256 133504 148864 162820 166880 173287 186080 190720 260512 267008 297728 325640 333760 346574 372160 381440 521024 534016 595456 651280 667520 693148 744320 866435 1042048 1213009 1302560 1335040 1386296 1488640 1732870 2084096 2426018 2605120 2670080 2772592 2977280 3465740 4168192 4852036 5210240 5545184 6065045 6931480 9704072 10420480 11090368 12130090 13862960 19408144 20840960 22180736 24260180 27725920 38816288 44361472 48520360 55451840 77632576 88722944 97040720 110903680 155265152 194081440 221807360 310530304 388162880 443614720 621060608 776325760 1552651520 3105303040