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34348284 = 223237107241
BaseRepresentation
bin1000001100000…
…1110011111100
32101122001222200
42003001303330
532243121114
63224111500
7564645525
oct203016374
971561880
1034348284
1118430413
12b605590
137168239
1447c184c
153037409
hex20c1cfc

34348284 has 72 divisors (see below), whose sum is σ = 90378288. Its totient is φ = 10990080.

The previous prime is 34348261. The next prime is 34348289. The reversal of 34348284 is 48284343.

34348284 is a `hidden beast` number, since 34 + 348 + 284 = 666.

It is a super-2 number, since 2×343482842 = 2359609227489312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34348289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142404 + ... + 142644.

It is an arithmetic number, because the mean of its divisors is an integer number (1255254).

Almost surely, 234348284 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 34348284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45189144).

34348284 is an abundant number, since it is smaller than the sum of its proper divisors (56030004).

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

34348284 is a wasteful number, since it uses less digits than its factorization.

34348284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 390 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 34348284 is about 5860.7409087930. The cubic root of 34348284 is about 325.0636056969.

The spelling of 34348284 in words is "thirty-four million, three hundred forty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 107 111 148 214 222 241 321 333 428 444 482 642 666 723 963 964 1284 1332 1446 1926 2169 2892 3852 3959 4338 7918 8676 8917 11877 15836 17834 23754 25787 26751 35631 35668 47508 51574 53502 71262 77361 80253 103148 107004 142524 154722 160506 232083 309444 321012 464166 928332 954119 1908238 2862357 3816476 5724714 8587071 11449428 17174142 34348284