Search a number
-
+
385421696 = 2711331827
BaseRepresentation
bin10110111110010…
…001000110000000
3222212020110011122
4112332101012000
51242131443241
6102124531412
712360013262
oct2676210600
9885213148
10385421696
11188619030
12a90b0b68
1361b08b9a
143928bb32
1523c8404b
hex16f91180

385421696 has 64 divisors (see below), whose sum is σ = 841181760. Its totient is φ = 174451200.

The previous prime is 385421693. The next prime is 385421713. The reversal of 385421696 is 696124583.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385421693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465635 + ... + 466461.

It is an arithmetic number, because the mean of its divisors is an integer number (13143465).

Almost surely, 2385421696 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 385421696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420590880).

385421696 is an abundant number, since it is smaller than the sum of its proper divisors (455760064).

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

385421696 is a wasteful number, since it uses less digits than its factorization.

385421696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1171 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 385421696 is about 19632.1597385514. The cubic root of 385421696 is about 727.7441438779.

The spelling of 385421696 in words is "three hundred eighty-five million, four hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 331 352 662 704 827 1324 1408 1654 2648 3308 3641 5296 6616 7282 9097 10592 13232 14564 18194 21184 26464 29128 36388 42368 52928 58256 72776 105856 116512 145552 233024 273737 291104 466048 547474 582208 1094948 1164416 2189896 3011107 4379792 6022214 8759584 12044428 17519168 24088856 35038336 48177712 96355424 192710848 385421696