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287430016 = 2717314261
BaseRepresentation
bin10001001000011…
…101010110000000
3202000211221212011
4101020131112000
51042040230031
644304342304
710060054246
oct2110352600
9660757764
10287430016
11138279475
1280314994
1347719543
142a260796
151a3796b1
hex1121d580

287430016 has 64 divisors (see below), whose sum is σ = 626002560. Its totient is φ = 130867200.

The previous prime is 287429993. The next prime is 287430029. The reversal of 287430016 is 610034782.

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 (31).

It is a self number, because there is not a number n which added to its sum of digits gives 287430016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65326 + ... + 69586.

It is an arithmetic number, because the mean of its divisors is an integer number (9781290).

Almost surely, 2287430016 is an apocalyptic number.

287430016 is the 10723-rd centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313001280).

287430016 is an abundant number, since it is smaller than the sum of its proper divisors (338572544).

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

287430016 is a wasteful number, since it uses less digits than its factorization.

287430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 287430016 is about 16953.7611166372. The cubic root of 287430016 is about 659.9495033297.

Adding to 287430016 its reverse (610034782), we get a palindrome (897464798).

The spelling of 287430016 in words is "two hundred eighty-seven million, four hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 496 527 544 992 1054 1088 1984 2108 2176 3968 4216 4261 8432 8522 16864 17044 33728 34088 67456 68176 72437 132091 136352 144874 264182 272704 289748 528364 545408 579496 1056728 1158992 2113456 2245547 2317984 4226912 4491094 4635968 8453824 8982188 9271936 16907648 17964376 35928752 71857504 143715008 287430016