Search a number
-
+
3261376260 = 2232525770501
BaseRepresentation
bin1100001001100100…
…1010011100000100
322102021212002011100
43002121022130010
523134403020020
61255342340100
7143551145412
oct30231123404
98367762140
103261376260
111423a6428a
1277028a630
133cc8ab04c
1422d2042b2
151414c3a90
hexc264a704

3261376260 has 72 divisors (see below), whose sum is σ = 9931475736. Its totient is φ = 866304000.

The previous prime is 3261376243. The next prime is 3261376291. The reversal of 3261376260 is 626731623.

3261376260 is a `hidden beast` number, since 3 + 26 + 1 + 3 + 7 + 626 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1555355844 + 1706020416 = 39438^2 + 41304^2 .

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

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, 11010 + ... + 81510.

It is an arithmetic number, because the mean of its divisors is an integer number (137937163).

Almost surely, 23261376260 is an apocalyptic number.

3261376260 is a gapful number since it is divisible by the number (30) 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 3261376260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965737868).

3261376260 is an abundant number, since it is smaller than the sum of its proper divisors (6670099476).

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

3261376260 is a wasteful number, since it uses less digits than its factorization.

3261376260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70773 (or 70768 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3261376260 is about 57108.4604940459. The cubic root of 3261376260 is about 1482.9743356557.

It can be divided in two parts, 3261376 and 260, that added together give a square (3261636 = 18062).

The spelling of 3261376260 in words is "three billion, two hundred sixty-one million, three hundred seventy-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 514 771 1028 1285 1542 2313 2570 3084 3855 4626 5140 7710 9252 11565 15420 23130 46260 70501 141002 211503 282004 352505 423006 634509 705010 846012 1057515 1269018 1410020 2115030 2538036 3172545 4230060 6345090 12690180 18118757 36237514 54356271 72475028 90593785 108712542 163068813 181187570 217425084 271781355 326137626 362375140 543562710 652275252 815344065 1087125420 1630688130 3261376260