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34438248 = 23321336793
BaseRepresentation
bin1000001101011…
…1110001101000
32101210122101200
42003113301220
532304010443
63230044200
7565502025
oct203276150
971718350
1034438248
1118491a69
12b649660
13719a180
14480654c
153053dd3
hex20d7c68

34438248 has 48 divisors (see below), whose sum is σ = 100447620. Its totient is φ = 10596096.

The previous prime is 34438247. The next prime is 34438253. The reversal of 34438248 is 84283443.

It can be written as a sum of positive squares in 2 ways, for example, as 27688644 + 6749604 = 5262^2 + 2598^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (34438247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17461 + ... + 19332.

Almost surely, 234438248 is an apocalyptic number.

It is an amenable number.

34438248 is an abundant number, since it is smaller than the sum of its proper divisors (66009372).

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

34438248 is a wasteful number, since it uses less digits than its factorization.

34438248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36818 (or 36811 counting only the distinct ones).

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

The square root of 34438248 is about 5868.4110285494. The cubic root of 34438248 is about 325.3471572480.

The spelling of 34438248 in words is "thirty-four million, four hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 36793 73586 110379 147172 220758 294344 331137 441516 478309 662274 883032 956618 1324548 1434927 1913236 2649096 2869854 3826472 4304781 5739708 8609562 11479416 17219124 34438248