Search a number
-
+
3501374080 = 2759756401
BaseRepresentation
bin1101000010110010…
…1011101010000000
3100001000110020021111
43100230223222000
524132322432310
61335234333104
7152524121461
oct32054535200
910030406244
103501374080
111537486196
1281872a194
1343a52aba9
14253038d68
151575ce28a
hexd0b2ba80

3501374080 has 64 divisors (see below), whose sum is σ = 8456915880. Its totient is φ = 1386086400.

The previous prime is 3501374039. The next prime is 3501374083. The reversal of 3501374080 is 804731053.

It can be written as a sum of positive squares in 4 ways, for example, as 2913408576 + 587965504 = 53976^2 + 24248^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3501374083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33880 + ... + 90280.

Almost surely, 23501374080 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 3501374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228457940).

3501374080 is an abundant number, since it is smaller than the sum of its proper divisors (4955541800).

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

3501374080 is an equidigital number, since it uses as much as digits as its factorization.

3501374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56517 (or 56505 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 3501374080 is about 59172.4097869945. The cubic root of 3501374080 is about 1518.4931511882.

The spelling of 3501374080 in words is "three billion, five hundred one million, three hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 3104 3880 6208 7760 12416 15520 31040 56401 62080 112802 225604 282005 451208 564010 902416 1128020 1804832 2256040 3609664 4512080 5470897 7219328 9024160 10941794 18048320 21883588 27354485 36096640 43767176 54708970 87534352 109417940 175068704 218835880 350137408 437671760 700274816 875343520 1750687040 3501374080