1306302984 has 128 divisors (see below), whose sum is σ = 4391020800. Its totient is φ = 351267840.

The previous prime is 1306302961. The next prime is 1306303021. The reversal of 1306302984 is 4892036031.

1306302984 is a `hidden beast` number, since 13 + 0 + 630 + 2 + 9 + 8 + 4 = 666.

It is a super-3 number, since 3×1306302984³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 294 + ... + 51114.

It is an arithmetic number, because the mean of its divisors is an integer number (34304850).

Almost surely, 2^1306302984 is an apocalyptic number.

1306302984 is a gapful number since it is divisible by the number (14) 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 1306302984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195510400).

1306302984 is an abundant number, since it is smaller than the sum of its proper divisors (3084717816).

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

1306302984 is a wasteful number, since it uses less digits than its factorization.

1306302984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50860 (or 50850 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1306302984 is about 36142.8137255527. The cubic root of 1306302984 is about 1093.1538943902.

The spelling of 1306302984 in words is "one billion, three hundred six million, three hundred two thousand, nine hundred eighty-four".