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34808620 = 22572113229
BaseRepresentation
bin1000010011001…
…0001100101100
32102111110110011
42010302030230
532402333440
63242023004
7601603600
oct204621454
972443404
1034808620
1118715260
12b7a7a64
137299922
1448a1500
1530c89ea
hex213232c

34808620 has 72 divisors (see below), whose sum is σ = 92791440. Its totient is φ = 10846080.

The previous prime is 34808617. The next prime is 34808621. The reversal of 34808620 is 2680843.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34808621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9166 + ... + 12394.

It is an arithmetic number, because the mean of its divisors is an integer number (1288770).

Almost surely, 234808620 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 34808620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46395720).

34808620 is an abundant number, since it is smaller than the sum of its proper divisors (57982820).

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

34808620 is a wasteful number, since it uses less digits than its factorization.

34808620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 34808620 is about 5899.8830496884. The cubic root of 34808620 is about 326.5093346674.

It can be divided in two parts, 3480 and 8620, that added together give a square (12100 = 1102).

The spelling of 34808620 in words is "thirty-four million, eight hundred eight thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 3229 5390 6458 10780 12916 16145 22603 32290 35519 45206 64580 71038 90412 113015 142076 158221 177595 226030 248633 316442 355190 452060 497266 632884 710380 791105 994532 1243165 1582210 1740431 2486330 3164420 3480862 4972660 6961724 8702155 17404310 34808620