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1073978336 = 25731672753
BaseRepresentation
bin100000000000011…
…1001101111100000
32202211212202022102
41000000321233200
54144414301321
6254323025532
735420444114
oct10000715740
92684782272
101073978336
11501261902
1225b80b2a8
1314166c752
14a28c7744
1564445c0b
hex40039be0

1073978336 has 48 divisors (see below), whose sum is σ = 2156976864. Its totient is φ = 526270464.

The previous prime is 1073978303. The next prime is 1073978351. The reversal of 1073978336 is 6338793701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388736 + ... + 391488.

It is an arithmetic number, because the mean of its divisors is an integer number (44937018).

Almost surely, 21073978336 is an apocalyptic number.

1073978336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1073978336 is an abundant number, since it is smaller than the sum of its proper divisors (1082998528).

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

1073978336 is a wasteful number, since it uses less digits than its factorization.

1073978336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 47.

The square root of 1073978336 is about 32771.6086880092. The cubic root of 1073978336 is about 1024.0751796203.

The spelling of 1073978336 in words is "one billion, seventy-three million, nine hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 73 146 167 292 334 584 668 1168 1336 2336 2672 2753 5344 5506 11012 12191 22024 24382 44048 48764 88096 97528 195056 200969 390112 401938 459751 803876 919502 1607752 1839004 3215504 3678008 6431008 7356016 14712032 33561823 67123646 134247292 268494584 536989168 1073978336