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34122444 = 22329313163
BaseRepresentation
bin1000001000101…
…0101011001100
32101012121012020
42002022223030
532213404234
63215210140
7563015226
oct202125314
971177166
1034122444
1118296774
12b516950
1370b94c5
144763416
152ee0549
hex208aacc

34122444 has 48 divisors (see below), whose sum is σ = 85048320. Its totient is φ = 10624320.

The previous prime is 34122443. The next prime is 34122449. The reversal of 34122444 is 44422143.

It is a happy number.

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 (34122443) 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, 9207 + ... + 12369.

It is an arithmetic number, because the mean of its divisors is an integer number (1771840).

Almost surely, 234122444 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 34122444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42524160).

34122444 is an abundant number, since it is smaller than the sum of its proper divisors (50925876).

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

34122444 is a wasteful number, since it uses less digits than its factorization.

34122444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3228 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 34122444 is about 5841.4419452734. The cubic root of 34122444 is about 324.3496073841.

Adding to 34122444 its reverse (44422143), we get a palindrome (78544587).

The spelling of 34122444 in words is "thirty-four million, one hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3163 3596 5394 6326 9489 10788 12652 18978 37956 91727 98053 183454 196106 275181 294159 366908 392212 550362 588318 1100724 1176636 2843537 5687074 8530611 11374148 17061222 34122444