Search a number
-
+
3485722680 = 23335112312757
BaseRepresentation
bin1100111111000011…
…1110100000111000
322222221000001121000
43033300332200320
524114321111210
61333515045000
7152244103536
oct31760764070
98887001530
103485722680
111529666050
12813440760
1343720abcb
14250d23156
1515603bac0
hexcfc3e838

3485722680 has 256 divisors, whose sum is σ = 13227494400. Its totient is φ = 808220160.

The previous prime is 3485722661. The next prime is 3485722693. The reversal of 3485722680 is 862275843.

3485722680 is a `hidden beast` number, since 3 + 485 + 72 + 26 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266862 + ... + 279618.

It is an arithmetic number, because the mean of its divisors is an integer number (51669900).

Almost surely, 23485722680 is an apocalyptic number.

3485722680 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 3485722680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613747200).

3485722680 is an abundant number, since it is smaller than the sum of its proper divisors (9741771720).

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

3485722680 is a wasteful number, since it uses less digits than its factorization.

3485722680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12811 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3485722680 is about 59040.0091463408. The cubic root of 3485722680 is about 1516.2271794009.

The spelling of 3485722680 in words is "three billion, four hundred eighty-five million, seven hundred twenty-two thousand, six hundred eighty".