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34047920 = 2453113729
BaseRepresentation
bin1000000111100…
…0011110110000
32101001210222002
42001320132300
532204013140
63213433132
7562255034
oct201703660
971053862
1034047920
1118245785
12b49b7a8
1370915ca
1447441c4
152ec8415
hex20787b0

34047920 has 40 divisors (see below), whose sum is σ = 81720960. Its totient is φ = 13178880.

The previous prime is 34047913. The next prime is 34047931. The reversal of 34047920 is 2974043.

It is a tau number, because it is divible by the number of its divisors (40).

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, 4385 + ... + 9344.

It is an arithmetic number, because the mean of its divisors is an integer number (2043024).

Almost surely, 234047920 is an apocalyptic number.

It is an amenable number.

34047920 is an abundant number, since it is smaller than the sum of its proper divisors (47673040).

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

34047920 is a wasteful number, since it uses less digits than its factorization.

34047920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13773 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 34047920 is about 5835.0595541091. The cubic root of 34047920 is about 324.1133069132.

The spelling of 34047920 in words is "thirty-four million, forty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 13729 27458 54916 68645 109832 137290 219664 274580 425599 549160 851198 1098320 1702396 2127995 3404792 4255990 6809584 8511980 17023960 34047920