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3012422424 = 23311234091213
BaseRepresentation
bin1011001110001101…
…1110101100011000
321202221101220200220
42303203132230120
522132140004144
61214530400040
7134436111444
oct26343365430
97687356626
103012422424
111306485610
12700a30020
1339014389b
1420811b824
151296e9919
hexb38deb18

3012422424 has 128 divisors (see below), whose sum is σ = 8600947200. Its totient is φ = 870312960.

The previous prime is 3012422381. The next prime is 3012422437. The reversal of 3012422424 is 4242242103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3012422394 and 3012422403.

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, 2482842 + ... + 2484054.

It is an arithmetic number, because the mean of its divisors is an integer number (67194900).

Almost surely, 23012422424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012422424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300473600).

3012422424 is an abundant number, since it is smaller than the sum of its proper divisors (5588524776).

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

3012422424 is a wasteful number, since it uses less digits than its factorization.

3012422424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3012422424 is about 54885.5392977057. The cubic root of 3012422424 is about 1444.2375217715.

Adding to 3012422424 its reverse (4242242103), we get a palindrome (7254664527).

The spelling of 3012422424 in words is "three billion, twelve million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 409 506 552 759 818 1012 1213 1227 1518 1636 2024 2426 2454 3036 3272 3639 4499 4852 4908 6072 7278 8998 9407 9704 9816 13343 13497 14556 17996 18814 26686 26994 27899 28221 29112 35992 37628 40029 53372 53988 55798 56442 75256 80058 83697 103477 106744 107976 111596 112884 160116 167394 206954 223192 225768 306889 310431 320232 334788 413908 496117 613778 620862 669576 827816 920667 992234 1227556 1241724 1488351 1841334 1984468 2455112 2483448 2976702 3682668 3968936 5457287 5953404 7365336 10914574 11410691 11906808 16371861 21829148 22821382 32743722 34232073 43658296 45642764 65487444 68464146 91285528 125517601 130974888 136928292 251035202 273856584 376552803 502070404 753105606 1004140808 1506211212 3012422424