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4341431424 = 273112344687
BaseRepresentation
bin1000000101100010…
…01111110010000000
3102012120011120022110
410002301033302000
532342401301144
61554443535320
7212404362321
oct40261176200
912176146273
104341431424
111928696760
12a11b2a540
13542597745
142d2830448
151a621a0b9
hex102c4fc80

4341431424 has 128 divisors (see below), whose sum is σ = 13127546880. Its totient is φ = 1258357760.

The previous prime is 4341431387. The next prime is 4341431441. The reversal of 4341431424 is 4241341434.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4341431391 and 4341431400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74809 + ... + 119495.

It is an arithmetic number, because the mean of its divisors is an integer number (102558960).

Almost surely, 24341431424 is an apocalyptic number.

4341431424 is a gapful number since it is divisible by the number (44) 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 4341431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563773440).

4341431424 is an abundant number, since it is smaller than the sum of its proper divisors (8786115456).

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

4341431424 is a wasteful number, since it uses less digits than its factorization.

4341431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44738 (or 44726 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 4341431424 is about 65889.5395643345. The cubic root of 4341431424 is about 1631.3393615966.

Adding to 4341431424 its reverse (4241341434), we get a palindrome (8582772858).

The spelling of 4341431424 in words is "four billion, three hundred forty-one million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 552 704 736 759 1012 1056 1104 1408 1472 1518 2024 2112 2208 2944 3036 4048 4224 4416 6072 8096 8832 12144 16192 24288 32384 44687 48576 89374 97152 134061 178748 268122 357496 491557 536244 714992 983114 1027801 1072488 1429984 1474671 1966228 2055602 2144976 2859968 2949342 3083403 3932456 4111204 4289952 5719936 5898684 6166806 7864912 8222408 8579904 11305811 11797368 12333612 15729824 16444816 17159808 22611622 23594736 24667224 31459648 32889632 33917433 45223244 47189472 49334448 62919296 65779264 67834866 90446488 94378944 98668896 131558528 135669732 180892976 188757888 197337792 271339464 361785952 394675584 542678928 723571904 1085357856 1447143808 2170715712 4341431424