Search a number
-
+
78303312 = 2432543773
BaseRepresentation
bin1001010101011…
…01000001010000
312110100012221200
410222231001100
5130021201222
611434151200
71640365353
oct452550120
9173305850
1078303312
114022248a
1222282500
13132b8029
14a58429a
156d1aeac
hex4aad050

78303312 has 30 divisors (see below), whose sum is σ = 219140922. Its totient is φ = 26101056.

The previous prime is 78303307. The next prime is 78303341. The reversal of 78303312 is 21330387.

It can be written as a sum of positive squares in only one way, i.e., 67174416 + 11128896 = 8196^2 + 3336^2 .

It is a super-2 number, since 2×783033122 = 12262817340338688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 271743 + ... + 272030.

Almost surely, 278303312 is an apocalyptic number.

78303312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78303312 is an abundant number, since it is smaller than the sum of its proper divisors (140837610).

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

78303312 is a wasteful number, since it uses less digits than its factorization.

78303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543787 (or 543778 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 78303312 is about 8848.9158657996. The cubic root of 78303312 is about 427.8189760563.

Adding to 78303312 its reverse (21330387), we get a palindrome (99633699).

The spelling of 78303312 in words is "seventy-eight million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 543773 1087546 1631319 2175092 3262638 4350184 4893957 6525276 8700368 9787914 13050552 19575828 26101104 39151656 78303312