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2431124334 = 233233475641
BaseRepresentation
bin1001000011101000…
…0000001101101110
320021102120220122000
42100322000031232
514434331434314
61041123233130
7114150134022
oct22072001556
96242526560
102431124334
111038340771
1257a2187a6
132c9895612
14190c42382
15e3673209
hex90e8036e

2431124334 has 64 divisors (see below), whose sum is σ = 5654638080. Its totient is φ = 772770240.

The previous prime is 2431124327. The next prime is 2431124341. The reversal of 2431124334 is 4334211342.

It is an interprime number because it is at equal distance from previous prime (2431124327) and next prime (2431124341).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2431124298 and 2431124307.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 428154 + ... + 433794.

It is an arithmetic number, because the mean of its divisors is an integer number (88353720).

Almost surely, 22431124334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431124334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827319040).

2431124334 is an abundant number, since it is smaller than the sum of its proper divisors (3223513746).

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

2431124334 is a wasteful number, since it uses less digits than its factorization.

2431124334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6022 (or 6016 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2431124334 is about 49306.4329879986. The cubic root of 2431124334 is about 1344.6287416142.

Adding to 2431124334 its reverse (4334211342), we get a palindrome (6765335676).

The spelling of 2431124334 in words is "two billion, four hundred thirty-one million, one hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 347 414 621 694 1041 1242 2082 3123 5641 6246 7981 9369 11282 15962 16923 18738 23943 33846 47886 50769 71829 101538 129743 143658 152307 215487 259486 304614 389229 430974 778458 1167687 1957427 2335374 3503061 3914854 5872281 7006122 11744562 17616843 35233686 45020821 52850529 90041642 105701058 135062463 270124926 405187389 810374778 1215562167 2431124334