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78243312 = 2437337691
BaseRepresentation
bin1001010100111…
…10010111110000
312110020011122110
410222132113300
5130012241222
611433005320
71640025420
oct452362760
9173204573
1078243312
11401913a4
1222253840
1313296924
14a56a480
156d0830c
hex4a9e5f0

78243312 has 80 divisors (see below), whose sum is σ = 232024832. Its totient is φ = 22256640.

The previous prime is 78243307. The next prime is 78243313. The reversal of 78243312 is 21334287.

It is a super-2 number, since 2×782433122 = 12244031745458688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 78243312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78243313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112887 + ... + 113577.

Almost surely, 278243312 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 78243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116012416).

78243312 is an abundant number, since it is smaller than the sum of its proper divisors (153781520).

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

78243312 is a wasteful number, since it uses less digits than its factorization.

78243312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 78243312 is about 8845.5249702886. The cubic root of 78243312 is about 427.7096758788.

Adding to 78243312 its reverse (21334287), we get a palindrome (99577599).

The spelling of 78243312 in words is "seventy-eight million, two hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 337 674 691 1011 1348 1382 2022 2073 2359 2696 2764 4044 4146 4718 4837 5392 5528 7077 8088 8292 9436 9674 11056 14154 14511 16176 16584 18872 19348 28308 29022 33168 37744 38696 56616 58044 77392 113232 116088 232176 232867 465734 698601 931468 1397202 1630069 1862936 2794404 3260138 3725872 4890207 5588808 6520276 9780414 11177616 13040552 19560828 26081104 39121656 78243312