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34100248 = 23713311511
BaseRepresentation
bin1000001000010…
…1010000011000
32101011110202011
42002011100120
532212201443
63214515304
7562563430
oct202052030
971143664
1034100248
1118281026
12b505b34
1370ac380
1447592c0
152ed8b9d
hex2085418

34100248 has 64 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 13046400.

The previous prime is 34100207. The next prime is 34100251. The reversal of 34100248 is 84200143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21813 + ... + 23323.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 234100248 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 34100248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

34100248 is an abundant number, since it is smaller than the sum of its proper divisors (47184872).

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

34100248 is a wasteful number, since it uses less digits than its factorization.

34100248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 34100248 is about 5839.5417628441. The cubic root of 34100248 is about 324.2792643820.

The spelling of 34100248 in words is "thirty-four million, one hundred thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1511 1612 1736 2821 3022 3224 5642 6044 10577 11284 12088 19643 21154 22568 39286 42308 46841 78572 84616 93682 137501 157144 187364 275002 327887 374728 550004 608933 655774 1100008 1217866 1311548 2435732 2623096 4262531 4871464 8525062 17050124 34100248