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34914828 = 223132337263
BaseRepresentation
bin1000010100110…
…0001000001100
32102200212010210
42011030020030
532414233303
63244202420
7602525334
oct205141014
972625123
1034914828
1118788033
12b839410
137306080
1448cc0c4
1530ea203
hex214c20c

34914828 has 96 divisors (see below), whose sum is σ = 94381056. Its totient is φ = 9960192.

The previous prime is 34914823. The next prime is 34914829. The reversal of 34914828 is 82841943.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34914823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132625 + ... + 132887.

It is an arithmetic number, because the mean of its divisors is an integer number (983136).

Almost surely, 234914828 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 34914828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47190528).

34914828 is an abundant number, since it is smaller than the sum of its proper divisors (59466228).

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

34914828 is a wasteful number, since it uses less digits than its factorization.

34914828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 34914828 is about 5908.8770506755. The cubic root of 34914828 is about 326.8410790587.

The spelling of 34914828 in words is "thirty-four million, nine hundred fourteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 23 26 37 39 46 52 69 74 78 92 111 138 148 156 222 263 276 299 444 481 526 598 789 851 897 962 1052 1196 1443 1578 1702 1794 1924 2553 2886 3156 3404 3419 3588 5106 5772 6049 6838 9731 10212 10257 11063 12098 13676 18147 19462 20514 22126 24196 29193 33189 36294 38924 41028 44252 58386 66378 72588 78637 116772 126503 132756 157274 223813 235911 253006 314548 379509 447626 471822 506012 671439 759018 895252 943644 1342878 1518036 2685756 2909569 5819138 8728707 11638276 17457414 34914828