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34114340 = 22513210093
BaseRepresentation
bin1000001000100…
…0101100100100
32101012012002002
42002020230210
532213124330
63215104432
7562652501
oct202105444
971165062
1034114340
1118290677
12b512118
1370b5900
1447604a8
152edce45
hex2088b24

34114340 has 36 divisors (see below), whose sum is σ = 77582484. Its totient is φ = 12594816.

The previous prime is 34114309. The next prime is 34114363. The reversal of 34114340 is 4341143.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6635776 + 27478564 = 2576^2 + 5242^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1667 + ... + 8426.

It is an arithmetic number, because the mean of its divisors is an integer number (2155069).

Almost surely, 234114340 is an apocalyptic number.

It is an amenable number.

34114340 is an abundant number, since it is smaller than the sum of its proper divisors (43468144).

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

34114340 is a wasteful number, since it uses less digits than its factorization.

34114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 34114340 is about 5840.7482397378. The cubic root of 34114340 is about 324.3239279287.

Adding to 34114340 its reverse (4341143), we get a palindrome (38455483).

The spelling of 34114340 in words is "thirty-four million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 10093 20186 40372 50465 100930 131209 201860 262418 524836 656045 1312090 1705717 2624180 3411434 6822868 8528585 17057170 34114340