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34100144 = 2413212611
BaseRepresentation
bin1000001000010…
…1001110110000
32101011110121022
42002011032300
532212201034
63214515012
7562563221
oct202051660
971143538
1034100144
1118280a41
12b505a68
1370ac300
144759248
152ed8b2e
hex20853b0

34100144 has 30 divisors (see below), whose sum is σ = 71547876. Its totient is φ = 15737280.

The previous prime is 34100137. The next prime is 34100173. The reversal of 34100144 is 44100143.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3602 + ... + 9009.

Almost surely, 234100144 is an apocalyptic number.

It is an amenable number.

34100144 is an abundant number, since it is smaller than the sum of its proper divisors (37447732).

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

34100144 is a wasteful number, since it uses less digits than its factorization.

34100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 34100144 is about 5839.5328580290. The cubic root of 34100144 is about 324.2789347160.

Adding to 34100144 its reverse (44100143), we get a palindrome (78200287).

Subtracting 34100144 from its reverse (44100143), we obtain a palindrome (9999999).

The spelling of 34100144 in words is "thirty-four million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 12611 25222 50444 100888 163943 201776 327886 655772 1311544 2131259 2623088 4262518 8525036 17050072 34100144