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1024424214 = 2311101227677
BaseRepresentation
bin111101000011110…
…111100100010110
32122101122010211120
4331003313210112
54044223033324
6245352544410
734246314342
oct7503674426
92571563746
101024424214
11486296090
122470b2106
1313430c298
149a0a8622
155ee08179
hex3d0f7916

1024424214 has 64 divisors (see below), whose sum is σ = 2270529792. Its totient is φ = 305552000.

The previous prime is 1024424207. The next prime is 1024424249. The reversal of 1024424214 is 4124244201.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 1512844 + ... + 1513520.

It is an arithmetic number, because the mean of its divisors is an integer number (35477028).

Almost surely, 21024424214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024424214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135264896).

1024424214 is an abundant number, since it is smaller than the sum of its proper divisors (1246105578).

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

1024424214 is a wasteful number, since it uses less digits than its factorization.

1024424214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021.

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1024424214 is about 32006.6276574087. The cubic root of 1024424214 is about 1008.0760071969.

Adding to 1024424214 its reverse (4124244201), we get a palindrome (5148668415).

The spelling of 1024424214 in words is "one billion, twenty-four million, four hundred twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 101 202 227 303 454 606 677 681 1111 1354 1362 2031 2222 2497 3333 4062 4994 6666 7447 7491 14894 14982 22341 22927 44682 45854 68377 68781 136754 137562 153679 205131 252197 307358 410262 461037 504394 752147 756591 922074 1504294 1513182 1690469 2256441 3380938 4512882 5071407 10142814 15521579 31043158 46564737 93129474 170737369 341474738 512212107 1024424214