Search a number
-
+
385416654 = 2372432709
BaseRepresentation
bin10110111110001…
…111110111001110
3222212020012020220
4112332033313032
51242131313104
6102124452210
712356662500
oct2676176716
9885205226
10385416654
11188615267
12a90aa066
1361b067bc
1439289d70
1523c827d9
hex16f8fdce

385416654 has 72 divisors (see below), whose sum is σ = 919316520. Its totient is φ = 107406432.

The previous prime is 385416643. The next prime is 385416667. The reversal of 385416654 is 456614583.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 543252 + ... + 543960.

It is an arithmetic number, because the mean of its divisors is an integer number (12768285).

Almost surely, 2385416654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385416654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459658260).

385416654 is an abundant number, since it is smaller than the sum of its proper divisors (533899866).

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

385416654 is a wasteful number, since it uses less digits than its factorization.

385416654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 764 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 385416654 is about 19632.0313263809. The cubic root of 385416654 is about 727.7409704690.

The spelling of 385416654 in words is "three hundred eighty-five million, four hundred sixteen thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 709 903 1418 1806 1849 2107 2127 3698 4214 4254 4963 5547 6321 9926 11094 12642 12943 14889 25886 29778 30487 34741 38829 60974 69482 77658 90601 91461 104223 181202 182922 208446 213409 271803 426818 543606 640227 1280454 1310941 1493863 2621882 2987726 3932823 4481589 7865646 8963178 9176587 18353174 27529761 55059522 64236109 128472218 192708327 385416654