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34893078 = 231117137227
BaseRepresentation
bin1000010100011…
…0110100010110
32102122202022020
42011012310112
532413034303
63243514010
7602405043
oct205066426
972582266
1034893078
1118772760
12b828906
1372c91bc
1448c41ca
1530e3a53
hex2146d16

34893078 has 64 divisors (see below), whose sum is σ = 81554688. Its totient is φ = 9835520.

The previous prime is 34893071. The next prime is 34893083. The reversal of 34893078 is 87039843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34893071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 153601 + ... + 153827.

It is an arithmetic number, because the mean of its divisors is an integer number (1274292).

Almost surely, 234893078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34893078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40777344).

34893078 is an abundant number, since it is smaller than the sum of its proper divisors (46661610).

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

34893078 is a wasteful number, since it uses less digits than its factorization.

34893078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 34893078 is about 5907.0363127375. The cubic root of 34893078 is about 326.7731970105.

The spelling of 34893078 in words is "thirty-four million, eight hundred ninety-three thousand, seventy-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 137 187 227 274 374 411 454 561 681 822 1122 1362 1507 2329 2497 3014 3859 4521 4658 4994 6987 7491 7718 9042 11577 13974 14982 23154 25619 31099 42449 51238 62198 76857 84898 93297 127347 153714 186594 254694 342089 528683 684178 1026267 1057366 1586049 2052534 3172098 5815513 11631026 17446539 34893078