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1004064390 = 233572292617
BaseRepresentation
bin111011110110001…
…100111010000110
32120222022202102000
4323312030322012
54024020030030
6243344330130
733611256300
oct7366147206
92528282360
101004064390
1147584a48a
12240313946
13130031154
14974c8970
155d235860
hex3bd8ce86

1004064390 has 192 divisors, whose sum is σ = 3223281600. Its totient is φ = 221501952.

The previous prime is 1004064349. The next prime is 1004064401. The reversal of 1004064390 is 934604001.

1004064390 is a `hidden beast` number, since 10 + 0 + 4 + 0 + 643 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 382362 + ... + 384978.

It is an arithmetic number, because the mean of its divisors is an integer number (16787925).

Almost surely, 21004064390 is an apocalyptic number.

1004064390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004064390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611640800).

1004064390 is an abundant number, since it is smaller than the sum of its proper divisors (2219217210).

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

1004064390 is a wasteful number, since it uses less digits than its factorization.

1004064390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1004064390 is about 31686.9750844097. The cubic root of 1004064390 is about 1001.3529653260.

Adding to 1004064390 its reverse (934604001), we get a palindrome (1938668391).

The spelling of 1004064390 in words is "one billion, four million, sixty-four thousand, three hundred ninety".