Search a number
-
+
30076288 = 271141521
BaseRepresentation
bin111001010111…
…0110110000000
32002121000220121
41302232312000
530144420123
62552350024
7513433654
oct162566600
962530817
1030076288
1115a82840
12a0a5314
136300928
143dcca64
15299175d
hex1caed80

30076288 has 64 divisors (see below), whose sum is σ = 67087440. Its totient is φ = 13312000.

The previous prime is 30076279. The next prime is 30076351. The reversal of 30076288 is 88267003.

It is a happy number.

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

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, 57468 + ... + 57988.

Almost surely, 230076288 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 30076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33543720).

30076288 is an abundant number, since it is smaller than the sum of its proper divisors (37011152).

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

30076288 is a wasteful number, since it uses less digits than its factorization.

30076288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 30076288 is about 5484.1852630997. The cubic root of 30076288 is about 310.9864104924.

The spelling of 30076288 in words is "thirty million, seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 328 352 451 521 656 704 902 1042 1312 1408 1804 2084 2624 3608 4168 5248 5731 7216 8336 11462 14432 16672 21361 22924 28864 33344 42722 45848 57728 66688 85444 91696 170888 183392 234971 341776 366784 469942 683552 733568 939884 1367104 1879768 2734208 3759536 7519072 15038144 30076288