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1047013344 = 25331331297
BaseRepresentation
bin111110011010000…
…010011111100000
32200222010210022000
4332122002133200
54121013411334
6251521044000
734642316016
oct7632023740
92628123260
101047013344
11498014693
12252786600
13138bbb030
149d0a88b6
1561dbb299
hex3e6827e0

1047013344 has 288 divisors, whose sum is σ = 3433237920. Its totient is φ = 308551680.

The previous prime is 1047013327. The next prime is 1047013379. The reversal of 1047013344 is 4433107401.

1047013344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10793904 + ... + 10794000.

It is an arithmetic number, because the mean of its divisors is an integer number (11920965).

Almost surely, 21047013344 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 1047013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716618960).

1047013344 is an abundant number, since it is smaller than the sum of its proper divisors (2386224576).

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

1047013344 is a wasteful number, since it uses less digits than its factorization.

1047013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1047013344 is about 32357.5855712382. The cubic root of 1047013344 is about 1015.4317507680.

The spelling of 1047013344 in words is "one billion, forty-seven million, thirteen thousand, three hundred forty-four".