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1010433424 = 2471113223211
BaseRepresentation
bin111100001110011…
…111110110010000
32121102022100002011
4330032133312100
54032132332144
6244133032304
734016354020
oct7416376620
92542270064
101010433424
114793aa650
12242485694
13131451100
14982a5a80
155da92a34
hex3c39fd90

1010433424 has 240 divisors, whose sum is σ = 2770965504. Its totient is φ = 345945600.

The previous prime is 1010433367. The next prime is 1010433443. The reversal of 1010433424 is 4243340101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1010433395 and 1010433404.

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 47 ways as a sum of consecutive naturals, for example, 4788679 + ... + 4788889.

Almost surely, 21010433424 is an apocalyptic number.

1010433424 is a gapful number since it is divisible by the number (14) 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 1010433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385482752).

1010433424 is an abundant number, since it is smaller than the sum of its proper divisors (1760532080).

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

1010433424 is a wasteful number, since it uses less digits than its factorization.

1010433424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1010433424 is about 31787.3154575846. The cubic root of 1010433424 is about 1003.4657824752.

Adding to 1010433424 its reverse (4243340101), we get a palindrome (5253773525).

It can be divided in two parts, 1010 and 433424, that added together give a palindrome (434434).

The spelling of 1010433424 in words is "one billion, ten million, four hundred thirty-three thousand, four hundred twenty-four".