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3129830280 = 23365181593
BaseRepresentation
bin1011101010001101…
…0110101110001000
322002010022212000000
42322203112232020
522402214032110
61234323043000
7140363055423
oct27243265610
98063285000
103129830280
1113667868a5
12734210460
133ab5709a5
142199609ba
15134b8c1c0
hexba8d6b88

3129830280 has 224 divisors, whose sum is σ = 10634583960. Its totient is φ = 828610560.

The previous prime is 3129830279. The next prime is 3129830281. The reversal of 3129830280 is 820389213.

It is a happy number.

3129830280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3129830279) and next prime (3129830281).

It can be written as a sum of positive squares in 4 ways, for example, as 1688716836 + 1441113444 = 41094^2 + 37962^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3129830281) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5277664 + ... + 5278256.

Almost surely, 23129830280 is an apocalyptic number.

3129830280 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 3129830280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317291980).

3129830280 is an abundant number, since it is smaller than the sum of its proper divisors (7504753680).

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

3129830280 is a wasteful number, since it uses less digits than its factorization.

3129830280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3129830280 is about 55944.8860933687. The cubic root of 3129830280 is about 1462.7617519665.

The spelling of 3129830280 in words is "three billion, one hundred twenty-nine million, eight hundred thirty thousand, two hundred eighty".