Search a number
-
+
34281216 = 283214879
BaseRepresentation
bin1000001011000…
…1011100000000
32101111122222200
42002301130000
532233444331
63222433200
7564246144
oct202613400
971448880
1034281216
1118394a92
12b592800
137143858
1447a5224
1530225e6
hex20b1700

34281216 has 54 divisors (see below), whose sum is σ = 98847840. Its totient is φ = 11426304.

The previous prime is 34281211. The next prime is 34281227. The reversal of 34281216 is 61218243.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34281216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34281211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5136 + ... + 9743.

Almost surely, 234281216 is an apocalyptic number.

34281216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34281216 is an abundant number, since it is smaller than the sum of its proper divisors (64566624).

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

34281216 is a wasteful number, since it uses less digits than its factorization.

34281216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14901 (or 14884 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 34281216 is about 5855.0163108227. The cubic root of 34281216 is about 324.8518962269.

Adding to 34281216 its reverse (61218243), we get a palindrome (95499459).

The spelling of 34281216 in words is "thirty-four million, two hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 14879 29758 44637 59516 89274 119032 133911 178548 238064 267822 357096 476128 535644 714192 952256 1071288 1428384 1904512 2142576 2856768 3809024 4285152 5713536 8570304 11427072 17140608 34281216