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34077330 = 2325754091
BaseRepresentation
bin1000000111111…
…1101010010010
32101010022022100
42001333222102
532210433310
63214221230
7562436550
oct201775222
971108270
1034077330
1118265891
12b4b4816
1370a1b01
144750bd0
152ed1ec0
hex207fa92

34077330 has 48 divisors (see below), whose sum is σ = 101260224. Its totient is φ = 7788960.

The previous prime is 34077319. The next prime is 34077331. The reversal of 34077330 is 3377043.

34077330 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 2×340773302 = 2322528839857800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34077294 and 34077303.

It is not an unprimeable number, because it can be changed into a prime (34077331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26416 + ... + 27675.

It is an arithmetic number, because the mean of its divisors is an integer number (2109588).

Almost surely, 234077330 is an apocalyptic number.

34077330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34077330 is an abundant number, since it is smaller than the sum of its proper divisors (67182894).

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

34077330 is a wasteful number, since it uses less digits than its factorization.

34077330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54111 (or 54108 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 34077330 is about 5837.5791215195. The cubic root of 34077330 is about 324.2066011986.

The spelling of 34077330 in words is "thirty-four million, seventy-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 54091 108182 162273 270455 324546 378637 486819 540910 757274 811365 973638 1135911 1622730 1893185 2271822 2434095 3407733 3786370 4868190 5679555 6815466 11359110 17038665 34077330