Search a number
-
+
368000864 = 25711149351
BaseRepresentation
bin10101111011110…
…011111101100000
3221122110101021122
4111323303331200
51223202011424
6100303311412
712055645550
oct2573637540
9848411248
10368000864
111797aa550
12a32ab568
135b3196ba
1436c35160
152249245e
hex15ef3f60

368000864 has 48 divisors (see below), whose sum is σ = 903280896. Its totient is φ = 143376000.

The previous prime is 368000863. The next prime is 368000869. The reversal of 368000864 is 468000863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368000863) 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, 72212 + ... + 77139.

It is an arithmetic number, because the mean of its divisors is an integer number (18818352).

Almost surely, 2368000864 is an apocalyptic number.

It is an amenable number.

368000864 is an abundant number, since it is smaller than the sum of its proper divisors (535280032).

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

368000864 is a wasteful number, since it uses less digits than its factorization.

368000864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149379 (or 149371 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 368000864 is about 19183.3486127944. The cubic root of 368000864 is about 716.6101350276.

Subtracting 368000864 from its reverse (468000863), we obtain a palindrome (99999999).

The spelling of 368000864 in words is "three hundred sixty-eight million, eight hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 149351 298702 597404 1045457 1194808 1642861 2090914 2389616 3285722 4181828 4779232 6571444 8363656 11500027 13142888 16727312 23000054 26285776 33454624 46000108 52571552 92000216 184000432 368000864