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1004230656 = 211331113127
BaseRepresentation
bin111011110110110…
…101100000000000
32120222122012111000
4323312311200000
54024040340111
6243352052000
733612551112
oct7366654000
92528565430
101004230656
114759533a0
12240394000
1313008ba30
149752d3b2
155d269c56
hex3bdb5800

1004230656 has 384 divisors, whose sum is σ = 3522355200. Its totient is φ = 278691840.

The previous prime is 1004230607. The next prime is 1004230691. The reversal of 1004230656 is 6560324001.

1004230656 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 3 + 0 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7907265 + ... + 7907391.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 21004230656 is an apocalyptic number.

1004230656 is a gapful number since it is divisible by the number (16) 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 1004230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761177600).

1004230656 is an abundant number, since it is smaller than the sum of its proper divisors (2518124544).

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

1004230656 is a wasteful number, since it uses less digits than its factorization.

1004230656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1004230656 is about 31689.5985458951. The cubic root of 1004230656 is about 1001.4082346110.

Adding to 1004230656 its reverse (6560324001), we get a palindrome (7564554657).

The spelling of 1004230656 in words is "one billion, four million, two hundred thirty thousand, six hundred fifty-six".