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34074080 = 2551731231
BaseRepresentation
bin1000000111111…
…0110111100000
32101010010211222
42001332313200
532210332310
63214154212
7562424225
oct201766740
971103758
1034074080
11182633a7
12b4b2968
1370a04a1
14474d94c
152ed1055
hex207ede0

34074080 has 48 divisors (see below), whose sum is σ = 81031104. Its totient is φ = 13539840.

The previous prime is 34074059. The next prime is 34074091. The reversal of 34074080 is 8047043.

34074080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340740802 = 2322085855692800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27065 + ... + 28295.

It is an arithmetic number, because the mean of its divisors is an integer number (1688148).

Almost surely, 234074080 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 34074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40515552).

34074080 is an abundant number, since it is smaller than the sum of its proper divisors (46957024).

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

34074080 is a wasteful number, since it uses less digits than its factorization.

34074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 34074080 is about 5837.3007460641. The cubic root of 34074080 is about 324.1962942003.

The spelling of 34074080 in words is "thirty-four million, seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 865 1231 1384 1730 2462 2768 3460 4924 5536 6155 6920 9848 12310 13840 19696 24620 27680 39392 49240 98480 196960 212963 425926 851852 1064815 1703704 2129630 3407408 4259260 6814816 8518520 17037040 34074080