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3440034 = 2321361241
BaseRepresentation
bin1101000111110110100010
320110202211200
431013312202
51340040114
6201422030
741145153
oct15076642
96422750
103440034
111a3a604
12119a916
13935a30
1465792a
1547e409
hex347da2

3440034 has 48 divisors (see below), whose sum is σ = 8192184. Its totient is φ = 1036800.

The previous prime is 3440029. The next prime is 3440051. The reversal of 3440034 is 4300443.

It can be written as a sum of positive squares in 4 ways, for example, as 1814409 + 1625625 = 1347^2 + 1275^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3439989 and 3440016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14154 + ... + 14394.

Almost surely, 23440034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096092).

3440034 is an abundant number, since it is smaller than the sum of its proper divisors (4752150).

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

3440034 is a wasteful number, since it uses less digits than its factorization.

3440034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3440034 is about 1854.7328648622. The cubic root of 3440034 is about 150.9573436226.

Adding to 3440034 its reverse (4300443), we get a palindrome (7740477).

The spelling of 3440034 in words is "three million, four hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 241 366 482 549 723 793 1098 1446 1586 2169 2379 3133 4338 4758 6266 7137 9399 14274 14701 18798 28197 29402 44103 56394 88206 132309 191113 264618 382226 573339 1146678 1720017 3440034