Search a number
-
+
385160438304 = 25321970387507
BaseRepresentation
bin1011001101011010101…
…10011110001000100000
31100211011111022112021200
411212231112132020200
522302302033011204
6452535032521200
736553430464515
oct5465526361040
91324144275250
10385160438304
11139389032024
1262791550200
132a4221073c5
14148db3c330c
15a043c26539
hex59ad59e220

385160438304 has 72 divisors (see below), whose sum is σ = 1152947381040. Its totient is φ = 121629610368.

The previous prime is 385160438303. The next prime is 385160438317. The reversal of 385160438304 is 403834061583.

385160438304 is a `hidden beast` number, since 3 + 8 + 5 + 1 + 604 + 3 + 8 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 385160438304.

It is not an unprimeable number, because it can be changed into a prime (385160438303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35188282 + ... + 35199225.

It is an arithmetic number, because the mean of its divisors is an integer number (16013158070).

Almost surely, 2385160438304 is an apocalyptic number.

It is an amenable number.

385160438304 is an abundant number, since it is smaller than the sum of its proper divisors (767786942736).

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

385160438304 is a wasteful number, since it uses less digits than its factorization.

385160438304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70387542 (or 70387531 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 385160438304 its reverse (403834061583), we get a palindrome (788994499887).

The spelling of 385160438304 in words is "three hundred eighty-five billion, one hundred sixty million, four hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 70387507 140775014 211162521 281550028 422325042 563100056 633487563 844650084 1126200112 1266975126 1337362633 1689300168 2252400224 2533950252 2674725266 3378600336 4012087899 5067900504 5349450532 6757200672 8024175798 10135801008 10698901064 12036263697 16048351596 20271602016 21397802128 24072527394 32096703192 42795604256 48145054788 64193406384 96290109576 128386812768 192580219152 385160438304