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34231808 = 291337139
BaseRepresentation
bin1000001010010…
…1011000000000
32101102011012202
42002211120000
532230404213
63221412332
7563652122
oct202453000
971364182
1034231808
1118360956
12b56a0a8
137127210
144791212
153012b58
hex20a5600

34231808 has 80 divisors (see below), whose sum is σ = 76193040. Its totient is φ = 15261696.

The previous prime is 34231783. The next prime is 34231811. The reversal of 34231808 is 80813243.

34231808 = 522 + 532 + ... + 4682.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246203 + ... + 246341.

It is an arithmetic number, because the mean of its divisors is an integer number (952413).

Almost surely, 234231808 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 34231808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38096520).

34231808 is an abundant number, since it is smaller than the sum of its proper divisors (41961232).

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

34231808 is a wasteful number, since it uses less digits than its factorization.

34231808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 34231808 is about 5850.7955014682. The cubic root of 34231808 is about 324.6957563015.

The spelling of 34231808 in words is "thirty-four million, two hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 139 148 208 256 278 296 416 481 512 556 592 832 962 1112 1184 1664 1807 1924 2224 2368 3328 3614 3848 4448 4736 5143 6656 7228 7696 8896 9472 10286 14456 15392 17792 18944 20572 28912 30784 35584 41144 57824 61568 66859 71168 82288 115648 123136 133718 164576 231296 246272 267436 329152 462592 534872 658304 925184 1069744 1316608 2139488 2633216 4278976 8557952 17115904 34231808