Search a number
-
+
4342145430 = 2357191517207
BaseRepresentation
bin1000000101100111…
…11110000110010110
3102012121111211202010
410002303332012112
532343042123210
61554511125050
7212413425060
oct40263760626
912177454663
104342145430
111929034147
12a12213786
1354278772c
142d2978730
151a630b920
hex102cfe196

4342145430 has 128 divisors (see below), whose sum is σ = 12621496320. Its totient is φ = 933897600.

The previous prime is 4342145429. The next prime is 4342145443. The reversal of 4342145430 is 345412434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 598887 + ... + 606093.

It is an arithmetic number, because the mean of its divisors is an integer number (98605440).

Almost surely, 24342145430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342145430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310748160).

4342145430 is an abundant number, since it is smaller than the sum of its proper divisors (8279350890).

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

4342145430 is a wasteful number, since it uses less digits than its factorization.

4342145430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394.

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4342145430 is about 65894.9575460824. The cubic root of 4342145430 is about 1631.4287884952.

Adding to 4342145430 its reverse (345412434), we get a palindrome (4687557864).

The spelling of 4342145430 in words is "four billion, three hundred forty-two million, one hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 151 190 210 266 285 302 399 453 570 665 755 798 906 1057 1330 1510 1995 2114 2265 2869 3171 3990 4530 5285 5738 6342 7207 8607 10570 14345 14414 15855 17214 20083 21621 28690 31710 36035 40166 43035 43242 50449 60249 72070 86070 100415 100898 108105 120498 136933 151347 200830 216210 252245 273866 301245 302694 410799 504490 602490 684665 756735 821598 958531 1088257 1369330 1513470 1917062 2053995 2176514 2875593 3264771 4107990 4792655 5441285 5751186 6529542 7617799 9585310 10882570 14377965 15235598 16323855 20676883 22853397 28755930 32647710 38088995 41353766 45706794 62030649 76177990 103384415 114266985 124061298 144738181 206768830 228533970 289476362 310153245 434214543 620306490 723690905 868429086 1447381810 2171072715 4342145430