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1090537344 = 2736132931
BaseRepresentation
bin100000100000000…
…0100011110000000
32211000001001000000
41001000010132000
54213134143334
6300114000000
736011262111
oct10100043600
92730031000
101090537344
1150a641936
12265276000
13144c19890
14a4b98208
1565b17299
hex41004780

1090537344 has 448 divisors, whose sum is σ = 3745929600. Its totient is φ = 313528320.

The previous prime is 1090537339. The next prime is 1090537367. The reversal of 1090537344 is 4437350901.

1090537344 is a `hidden beast` number, since 1 + 0 + 90 + 537 + 34 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1090537299 and 1090537308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35178609 + ... + 35178639.

It is an arithmetic number, because the mean of its divisors is an integer number (8361450).

Almost surely, 21090537344 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 1090537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872964800).

1090537344 is an abundant number, since it is smaller than the sum of its proper divisors (2655392256).

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

1090537344 is an equidigital number, since it uses as much as digits as its factorization.

1090537344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1090537344 is about 33023.2848759780. The cubic root of 1090537344 is about 1029.3115530186.

The spelling of 1090537344 in words is "one billion, ninety million, five hundred thirty-seven thousand, three hundred forty-four".