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1073630376 = 23367213172
BaseRepresentation
bin111111111111100…
…100110010101000
32202211020002000000
4333333210302220
54144322133001
6254311343000
735414464500
oct7777446250
92684202000
101073630376
11501044435
1225b681a60
1314157a260
14a2836a00
15643c7a86
hex3ffe4ca8

1073630376 has 504 divisors, whose sum is σ = 4016545470. Its totient is φ = 266499072.

The previous prime is 1073630339. The next prime is 1073630399. The reversal of 1073630376 is 6730363701.

1073630376 is a `hidden beast` number, since 10 + 7 + 3 + 630 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 984327876 + 89302500 = 31374^2 + 9450^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1073630376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 63154720 + ... + 63154736.

Almost surely, 21073630376 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 1073630376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008272735).

1073630376 is an abundant number, since it is smaller than the sum of its proper divisors (2942915094).

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

1073630376 is a wasteful number, since it uses less digits than its factorization.

1073630376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 1073630376 is about 32766.2993943472. The cubic root of 1073630376 is about 1023.9645704091.

The spelling of 1073630376 in words is "one billion, seventy-three million, six hundred thirty thousand, three hundred seventy-six".