Search a number
-
+
3268677888 = 2834723217
BaseRepresentation
bin1100001011010100…
…0001000100000000
322102210121001010000
43002311001010000
523143240143023
61300203040000
7144000206100
oct30265010400
98383531100
103268677888
1114280a1093
12772810000
13401266638
14230185200
15141e67243
hexc2d41100

3268677888 has 270 divisors, whose sum is σ = 11341413006. Its totient is φ = 933617664.

The previous prime is 3268677877. The next prime is 3268677947. The reversal of 3268677888 is 8887768623.

It can be written as a sum of positive squares in only one way, i.e., 3186376704 + 82301184 = 56448^2 + 9072^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1014456 + ... + 1017672.

Almost surely, 23268677888 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 3268677888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670706503).

3268677888 is an abundant number, since it is smaller than the sum of its proper divisors (8072735118).

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

3268677888 is an equidigital number, since it uses as much as digits as its factorization.

3268677888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3229 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The square root of 3268677888 is about 57172.3524791485. The cubic root of 3268677888 is about 1484.0802140099.

The spelling of 3268677888 in words is "three billion, two hundred sixty-eight million, six hundred seventy-seven thousand, eight hundred eighty-eight".