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1004003328 = 213340853
BaseRepresentation
bin111011110101111…
…110000000000000
32120222012122122110
4323311332000000
54024011101303
6243343135320
733610613256
oct7365760000
92528178573
101004003328
11475808619
122402a4540
1313000c413
14974b05d6
155d222703
hex3bd7e000

1004003328 has 56 divisors (see below), whose sum is σ = 2677244328. Its totient is φ = 334659584.

The previous prime is 1004003321. The next prime is 1004003333. The reversal of 1004003328 is 8233004001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004003321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4150 + ... + 45002.

Almost surely, 21004003328 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 1004003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338622164).

1004003328 is an abundant number, since it is smaller than the sum of its proper divisors (1673241000).

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

1004003328 is an frugal number, since it uses more digits than its factorization.

1004003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40882 (or 40858 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1004003328 is about 31686.0115508405. The cubic root of 1004003328 is about 1001.3326658794.

Adding to 1004003328 its reverse (8233004001), we get a palindrome (9237007329).

The spelling of 1004003328 in words is "one billion, four million, three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 24576 40853 81706 122559 163412 245118 326824 490236 653648 980472 1307296 1960944 2614592 3921888 5229184 7843776 10458368 15687552 20916736 31375104 41833472 62750208 83666944 125500416 167333888 251000832 334667776 502001664 1004003328