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34323828 = 2237113307
BaseRepresentation
bin1000001011101…
…1110101110100
32101120211102220
42002323311310
532241330303
63223402340
7564514320
oct202736564
971524386
1034323828
1118414000
12b5b33b0
13715a076
1447b6980
153030053
hex20bbd74

34323828 has 96 divisors (see below), whose sum is σ = 101004288. Its totient is φ = 8886240.

The previous prime is 34323749. The next prime is 34323853. The reversal of 34323828 is 82832343.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111651 + ... + 111957.

It is an arithmetic number, because the mean of its divisors is an integer number (1052128).

Almost surely, 234323828 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 34323828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50502144).

34323828 is an abundant number, since it is smaller than the sum of its proper divisors (66680460).

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

34323828 is a wasteful number, since it uses less digits than its factorization.

34323828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 330 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 34323828 is about 5858.6541116540. The cubic root of 34323828 is about 324.9864388819.

It can be divided in two parts, 3432 and 3828, that added together give a triangular number (7260 = T120).

The spelling of 34323828 in words is "thirty-four million, three hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 307 308 363 462 484 614 726 847 921 924 1228 1331 1452 1694 1842 2149 2541 2662 3377 3388 3684 3993 4298 5082 5324 6447 6754 7986 8596 9317 10131 10164 12894 13508 15972 18634 20262 23639 25788 27951 37147 37268 40524 47278 55902 70917 74294 94556 111441 111804 141834 148588 222882 260029 283668 408617 445764 520058 780087 817234 1040116 1225851 1560174 1634468 2451702 2860319 3120348 4903404 5720638 8580957 11441276 17161914 34323828