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34323408 = 24327172003
BaseRepresentation
bin1000001011101…
…1101111010000
32101120210212100
42002323233100
532241322113
63223400400
7564513150
oct202735720
971523770
1034323408
1118413759
12b5b3100
137159b12
1447b6760
15302ed73
hex20bbbd0

34323408 has 120 divisors (see below), whose sum is σ = 116296128. Its totient is φ = 9225216.

The previous prime is 34323389. The next prime is 34323413. The reversal of 34323408 is 80432343.

34323408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 16135 + ... + 18137.

Almost surely, 234323408 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 34323408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58148064).

34323408 is an abundant number, since it is smaller than the sum of its proper divisors (81972720).

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

34323408 is a wasteful number, since it uses less digits than its factorization.

34323408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34323408 is about 5858.6182671343. The cubic root of 34323408 is about 324.9851133221.

The spelling of 34323408 in words is "thirty-four million, three hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2003 2142 2448 2856 4006 4284 5712 6009 8012 8568 12018 14021 16024 17136 18027 24036 28042 32048 34051 36054 42063 48072 56084 68102 72108 84126 96144 102153 112168 126189 136204 144216 168252 204306 224336 238357 252378 272408 288432 306459 336504 408612 476714 504756 544816 612918 673008 715071 817224 953428 1009512 1225836 1430142 1634448 1906856 2019024 2145213 2451672 2860284 3813712 4290426 4903344 5720568 8580852 11441136 17161704 34323408