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34258380 = 223513167263
BaseRepresentation
bin1000001010101…
…1110111001100
32101110111122220
42002223313030
532232232010
63222135340
7564122442
oct202536714
971414586
1034258380
1118379912
12b581550
137136340
14479ab92
15301a970
hex20abdcc

34258380 has 96 divisors (see below), whose sum is σ = 104315904. Its totient is φ = 8350464.

The previous prime is 34258369. The next prime is 34258381. The reversal of 34258380 is 8385243.

34258380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34258381) 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 31 ways as a sum of consecutive naturals, for example, 130129 + ... + 130391.

It is an arithmetic number, because the mean of its divisors is an integer number (1086624).

Almost surely, 234258380 is an apocalyptic number.

34258380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34258380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52157952).

34258380 is an abundant number, since it is smaller than the sum of its proper divisors (70057524).

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

34258380 is a wasteful number, since it uses less digits than its factorization.

34258380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 34258380 is about 5853.0658632891. The cubic root of 34258380 is about 324.7797482055.

The spelling of 34258380 in words is "thirty-four million, two hundred fifty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 167 195 260 263 334 390 501 526 668 780 789 835 1002 1052 1315 1578 1670 2004 2171 2505 2630 3156 3340 3419 3945 4342 5010 5260 6513 6838 7890 8684 10020 10257 10855 13026 13676 15780 17095 20514 21710 26052 32565 34190 41028 43420 43921 51285 65130 68380 87842 102570 130260 131763 175684 205140 219605 263526 439210 527052 570973 658815 878420 1141946 1317630 1712919 2283892 2635260 2854865 3425838 5709730 6851676 8564595 11419460 17129190 34258380