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1073682944 = 295935543
BaseRepresentation
bin111111111111110…
…001101000000000
32202211022202002222
4333333301220000
54144330323234
6254312430212
735415103655
oct7777615000
92684282088
101073682944
1150107a984
1225b6a8368
13141598169
14a284bc2c
15643d842e
hex3fff1a00

1073682944 has 40 divisors (see below), whose sum is σ = 2181690720. Its totient is φ = 527727616.

The previous prime is 1073682931. The next prime is 1073682959. The reversal of 1073682944 is 4492863701.

It is a junction number, because it is equal to n+sod(n) for n = 1073682895 and 1073682904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12437 + ... + 47979.

It is an arithmetic number, because the mean of its divisors is an integer number (54542268).

Almost surely, 21073682944 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 1073682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090845360).

1073682944 is an abundant number, since it is smaller than the sum of its proper divisors (1108007776).

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

1073682944 is an frugal number, since it uses more digits than its factorization.

1073682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35620 (or 35604 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 1073682944 is about 32767.1015501829. The cubic root of 1073682944 is about 1023.9812822099.

The spelling of 1073682944 in words is "one billion, seventy-three million, six hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1888 3776 7552 15104 30208 35543 71086 142172 284344 568688 1137376 2097037 2274752 4194074 4549504 8388148 9099008 16776296 18198016 33552592 67105184 134210368 268420736 536841472 1073682944