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1044404320 = 25571891033
BaseRepresentation
bin111110010000000…
…101100001100000
32200210020020101111
4332100011201200
54114331414240
6251345113104
734611201361
oct7620054140
92623206344
101044404320
114965a2473
12251928794
131384b662b
149c9c9b68
1561a531ea
hex3e405860

1044404320 has 96 divisors (see below), whose sum is σ = 2532720960. Its totient is φ = 406855680.

The previous prime is 1044404311. The next prime is 1044404321. The reversal of 1044404320 is 234044401.

It is a junction number, because it is equal to n+sod(n) for n = 1044404291 and 1044404300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044404321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1010524 + ... + 1011556.

It is an arithmetic number, because the mean of its divisors is an integer number (26382510).

Almost surely, 21044404320 is an apocalyptic number.

1044404320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266360480).

1044404320 is an abundant number, since it is smaller than the sum of its proper divisors (1488316640).

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

1044404320 is a wasteful number, since it uses less digits than its factorization.

1044404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1044404320 is about 32317.2449320792. The cubic root of 1044404320 is about 1014.5876069833.

Adding to 1044404320 its reverse (234044401), we get a palindrome (1278448721).

The spelling of 1044404320 in words is "one billion, forty-four million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 89 142 160 178 284 355 356 445 568 710 712 890 1033 1136 1420 1424 1780 2066 2272 2840 2848 3560 4132 5165 5680 6319 7120 8264 10330 11360 12638 14240 16528 20660 25276 31595 33056 41320 50552 63190 73343 82640 91937 101104 126380 146686 165280 183874 202208 252760 293372 366715 367748 459685 505520 586744 733430 735496 919370 1011040 1173488 1466860 1470992 1838740 2346976 2933720 2941984 3677480 5867440 6527527 7354960 11734880 13055054 14709920 26110108 32637635 52220216 65275270 104440432 130550540 208880864 261101080 522202160 1044404320