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34240448 = 2611172861
BaseRepresentation
bin1000001010011…
…1011111000000
32101102121001202
42002213133000
532231143243
63221520332
7564016244
oct202473700
971377052
1034240448
11183673a0
12b5730a8
13712b128
144794424
1530154b8
hex20a77c0

34240448 has 56 divisors (see below), whose sum is σ = 78510384. Its totient is φ = 14643200.

The previous prime is 34240439. The next prime is 34240471. The reversal of 34240448 is 84404243.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34240448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10538 + ... + 13398.

Almost surely, 234240448 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 34240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39255192).

34240448 is an abundant number, since it is smaller than the sum of its proper divisors (44269936).

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

34240448 is a wasteful number, since it uses less digits than its factorization.

34240448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 34240448 is about 5851.5338160178. The cubic root of 34240448 is about 324.7230713973.

The spelling of 34240448 in words is "thirty-four million, two hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2861 2992 5722 5984 11444 11968 22888 31471 45776 48637 62942 91552 97274 125884 183104 194548 251768 389096 503536 535007 778192 1007072 1070014 1556384 2014144 2140028 3112768 4280056 8560112 17120224 34240448