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34442212 = 22719101641
BaseRepresentation
bin1000001101100…
…0101111100100
32101210211211111
42003120233210
532304122322
63230114404
7565516420
oct203305744
971724744
1034442212
1118494a42
12b64ba04
13719bc0c
144807b80
153055177
hex20d8be4

34442212 has 48 divisors (see below), whose sum is σ = 73342080. Its totient is φ = 13824000.

The previous prime is 34442159. The next prime is 34442237. The reversal of 34442212 is 21224443.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53412 + ... + 54052.

It is an arithmetic number, because the mean of its divisors is an integer number (1527960).

Almost surely, 234442212 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 34442212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36671040).

34442212 is an abundant number, since it is smaller than the sum of its proper divisors (38899868).

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

34442212 is a wasteful number, since it uses less digits than its factorization.

34442212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 34442212 is about 5868.7487593183. The cubic root of 34442212 is about 325.3596397515.

Adding to 34442212 its reverse (21224443), we get a palindrome (55666655).

The spelling of 34442212 in words is "thirty-four million, four hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 101 133 202 266 404 532 641 707 1282 1414 1919 2564 2828 3838 4487 7676 8974 12179 13433 17948 24358 26866 48716 53732 64741 85253 129482 170506 258964 341012 453187 906374 1230079 1812748 2460158 4920316 8610553 17221106 34442212