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34069776 = 2431371769
BaseRepresentation
bin1000000111110…
…1110100010000
32101002220221120
42001331310100
532210213101
63214122240
7562405536
oct201756420
971086846
1034069776
1118260144
12b4b0380
13709b540
14474c156
152eceb36
hex207dd10

34069776 has 80 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 10321920.

The previous prime is 34069723. The next prime is 34069813. The reversal of 34069776 is 67796043.

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 15 ways as a sum of consecutive naturals, for example, 43920 + ... + 44688.

It is an arithmetic number, because the mean of its divisors is an integer number (1203048).

Almost surely, 234069776 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 34069776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

34069776 is an abundant number, since it is smaller than the sum of its proper divisors (62174064).

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

34069776 is a wasteful number, since it uses less digits than its factorization.

34069776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 34069776 is about 5836.9320708742. The cubic root of 34069776 is about 324.1826435543.

The spelling of 34069776 in words is "thirty-four million, sixty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 769 852 923 1136 1538 1704 1846 2307 2769 3076 3408 3692 4614 5538 6152 7384 9228 9997 11076 12304 14768 18456 19994 22152 29991 36912 39988 44304 54599 59982 79976 109198 119964 159952 163797 218396 239928 327594 436792 479856 655188 709787 873584 1310376 1419574 2129361 2620752 2839148 4258722 5678296 8517444 11356592 17034888 34069776