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34111220 = 225111311927
BaseRepresentation
bin1000001000011…
…1111011110100
32101012000210112
42002013323310
532213024340
63215042152
7562640423
oct202077364
971160715
1034111220
11182892a0
12b510358
1370b4370
14475d2ba
152edc065
hex2087ef4

34111220 has 48 divisors (see below), whose sum is σ = 84163968. Its totient is φ = 11448960.

The previous prime is 34111201. The next prime is 34111247. The reversal of 34111220 is 2211143.

34111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34111195 and 34111204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3104 + ... + 8823.

It is an arithmetic number, because the mean of its divisors is an integer number (1753416).

Almost surely, 234111220 is an apocalyptic number.

It is an amenable number.

34111220 is an abundant number, since it is smaller than the sum of its proper divisors (50052748).

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

34111220 is a wasteful number, since it uses less digits than its factorization.

34111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11960 (or 11958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 34111220 is about 5840.4811445633. The cubic root of 34111220 is about 324.3140403809.

Adding to 34111220 its reverse (2211143), we get a palindrome (36322363).

The spelling of 34111220 in words is "thirty-four million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 11927 23854 47708 59635 119270 131197 155051 238540 262394 310102 524788 620204 655985 775255 1311970 1550510 1705561 2623940 3101020 3411122 6822244 8527805 17055610 34111220