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2404130432 = 27117124049
BaseRepresentation
bin1000111101001100…
…0001111010000000
320012112210110221212
42033103001322000
514410424133212
61034320505252
7113401525424
oct21723017200
96175713855
102404130432
111024083860
1257117b228
132c41039b2
1418b416b84
15e10dee22
hex8f4c1e80

2404130432 has 64 divisors (see below), whose sum is σ = 5298696000. Its totient is φ = 1077350400.

The previous prime is 2404130431. The next prime is 2404130437. The reversal of 2404130432 is 2340314042.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2404130398 and 2404130407.

It is not an unprimeable number, because it can be changed into a prime (2404130431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87944 + ... + 111992.

It is an arithmetic number, because the mean of its divisors is an integer number (82792125).

Almost surely, 22404130432 is an apocalyptic number.

2404130432 is a gapful number since it is divisible by the number (22) 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 2404130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649348000).

2404130432 is an abundant number, since it is smaller than the sum of its proper divisors (2894565568).

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

2404130432 is a wasteful number, since it uses less digits than its factorization.

2404130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24145 (or 24133 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2404130432 is about 49031.9327785475. The cubic root of 2404130432 is about 1339.6335286549.

Adding to 2404130432 its reverse (2340314042), we get a palindrome (4744444474).

The spelling of 2404130432 in words is "two billion, four hundred four million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 284 352 568 704 781 1136 1408 1562 2272 3124 4544 6248 9088 12496 24049 24992 48098 49984 96196 99968 192392 264539 384784 529078 769568 1058156 1539136 1707479 2116312 3078272 3414958 4232624 6829916 8465248 13659832 16930496 18782269 27319664 33860992 37564538 54639328 75129076 109278656 150258152 218557312 300516304 601032608 1202065216 2404130432