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1004123344 = 24723393833
BaseRepresentation
bin111011110110011…
…011010011010000
32120222102202021111
4323312123103100
54024023421334
6243345503104
733611623210
oct7366332320
92528382244
101004123344
1147588a804
12240341a94
13130051c33
1497502240
155d248064
hex3bd9b4d0

1004123344 has 40 divisors (see below), whose sum is σ = 2224946880. Its totient is φ = 430042368.

The previous prime is 1004123327. The next prime is 1004123363. The reversal of 1004123344 is 4433214001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 260052 + ... + 263884.

It is an arithmetic number, because the mean of its divisors is an integer number (55623672).

Almost surely, 21004123344 is an apocalyptic number.

1004123344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004123344 is an abundant number, since it is smaller than the sum of its proper divisors (1220823536).

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

1004123344 is a wasteful number, since it uses less digits than its factorization.

1004123344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1004123344 is about 31687.9053267962. The cubic root of 1004123344 is about 1001.3725632083.

Adding to 1004123344 its reverse (4433214001), we get a palindrome (5437337345).

The spelling of 1004123344 in words is "one billion, four million, one hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 2339 3833 4678 7666 9356 15332 16373 18712 26831 30664 32746 37424 53662 61328 65492 107324 130984 214648 261968 429296 8965387 17930774 35861548 62757709 71723096 125515418 143446192 251030836 502061672 1004123344